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2474640 = 243257491
BaseRepresentation
bin1001011100001010010000
311122201120100
421130022100
51113142030
6125012400
730014460
oct11341220
94581510
102474640
111440263
129b4100
136884ac
14485ba0
1533d360
hex25c290

2474640 has 120 divisors (see below), whose sum is σ = 9517248. Its totient is φ = 564480.

The previous prime is 2474629. The next prime is 2474651. The reversal of 2474640 is 464742.

It is an interprime number because it is at equal distance from previous prime (2474629) and next prime (2474651).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×24746402 = 12247686259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4795 + ... + 5285.

22474640 is an apocalyptic number.

2474640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758624).

2474640 is an abundant number, since it is smaller than the sum of its proper divisors (7042608).

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

2474640 is a wasteful number, since it uses less digits than its factorization.

2474640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2474640 is about 1573.0988525837. The cubic root of 2474640 is about 135.2604027336.

The spelling of 2474640 in words is "two million, four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 491 504 560 630 720 840 982 1008 1260 1473 1680 1964 2455 2520 2946 3437 3928 4419 4910 5040 5892 6874 7365 7856 8838 9820 10311 11784 13748 14730 17185 17676 19640 20622 22095 23568 27496 29460 30933 34370 35352 39280 41244 44190 51555 54992 58920 61866 68740 70704 82488 88380 103110 117840 123732 137480 154665 164976 176760 206220 247464 274960 309330 353520 412440 494928 618660 824880 1237320 2474640