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2520045416 = 2372311291733
BaseRepresentation
bin1001011000110100…
…1101011101101000
320111121220120102102
42112031031131220
520130112423131
61054021152532
7116310014120
oct22615153550
96447816372
102520045416
111083555469
125a3b5b748
1331212a445
1419c98bc80
15eb38a1cb
hex9634d768

2520045416 has 64 divisors (see below), whose sum is σ = 5643129600. Its totient is φ = 1031551488.

The previous prime is 2520045403. The next prime is 2520045421. The reversal of 2520045416 is 6145400252.

2520045416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25200454162 = 12701257797405226112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453286 + ... + 1455018.

It is an arithmetic number, because the mean of its divisors is an integer number (88173900).

Almost surely, 22520045416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520045416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821564800).

2520045416 is an abundant number, since it is smaller than the sum of its proper divisors (3123084184).

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

2520045416 is a wasteful number, since it uses less digits than its factorization.

2520045416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2520045416 is about 50200.0539441941. The cubic root of 2520045416 is about 1360.8265981322.

Adding to 2520045416 its reverse (6145400252), we get a palindrome (8665445668).

The spelling of 2520045416 in words is "two billion, five hundred twenty million, forty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1129 1288 1733 2258 3466 4516 6932 7903 9032 12131 13864 15806 24262 25967 31612 39859 48524 51934 63224 79718 97048 103868 159436 181769 207736 279013 318872 363538 558026 727076 1116052 1454152 1956557 2232104 3913114 7826228 13695899 15652456 27391798 45000811 54783596 90001622 109567192 180003244 315005677 360006488 630011354 1260022708 2520045416