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2521420416 = 273217128749
BaseRepresentation
bin1001011001001001…
…1101001010000000
320111201111102120100
42112102131022000
520130440423131
61054110442400
7116324501634
oct22622351200
96451442510
102521420416
111084304529
125a4503400
133124bc258
1419cc28dc4
15eb55c7e6
hex9649d280

2521420416 has 96 divisors (see below), whose sum is σ = 7682512500. Its totient is φ = 791027712.

The previous prime is 2521420409. The next prime is 2521420423. The reversal of 2521420416 is 6140241252.

It is an interprime number because it is at equal distance from previous prime (2521420409) and next prime (2521420423).

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 31809600 = 49896^2 + 5640^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25214204162 = 12715121828443226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2521420416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44791 + ... + 83958.

Almost surely, 22521420416 is an apocalyptic number.

It is an amenable number.

2521420416 is an abundant number, since it is smaller than the sum of its proper divisors (5161092084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2521420416 is a wasteful number, since it uses less digits than its factorization.

2521420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128786 (or 128771 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2521420416 is about 50213.7472809987. The cubic root of 2521420416 is about 1361.0740535089.

Adding to 2521420416 its reverse (6140241252), we get a palindrome (8661661668).

The spelling of 2521420416 in words is "two billion, five hundred twenty-one million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 128749 257498 386247 514996 772494 1029992 1158741 1544988 2059984 2188733 2317482 3089976 4119968 4377466 4634964 6179952 6566199 8239936 8754932 9269928 12359904 13132398 16479872 17509864 18539856 19698597 24719808 26264796 35019728 37079712 39397194 49439616 52529592 70039456 74159424 78794388 105059184 140078912 148318848 157588776 210118368 280157824 315177552 420236736 630355104 840473472 1260710208 2521420416