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2540509704 = 233361919001
BaseRepresentation
bin1001011101101101…
…0001101000001000
320120001102021011000
42113123101220020
520200332302304
61100031535000
7116645655555
oct22733215010
96501367130
102540509704
1110940625a7
125aa98a460
13316443ca5
141a1597a2c
15ed07d939
hex976d1a08

2540509704 has 64 divisors (see below), whose sum is σ = 7068744000. Its totient is φ = 845424000.

The previous prime is 2540509693. The next prime is 2540509723. The reversal of 2540509704 is 4079050452.

It is a super-2 number, since 2×25405097042 = 12908379112236335232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 124204 + ... + 143204.

It is an arithmetic number, because the mean of its divisors is an integer number (110449125).

Almost surely, 22540509704 is an apocalyptic number.

2540509704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2540509704 is an abundant number, since it is smaller than the sum of its proper divisors (4528234296).

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

2540509704 is a wasteful number, since it uses less digits than its factorization.

2540509704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19625 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2540509704 is about 50403.4691663183. The cubic root of 2540509704 is about 1364.5002493697.

The spelling of 2540509704 in words is "two billion, five hundred forty million, five hundred nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 619 1238 1857 2476 3714 4952 5571 7428 11142 14856 16713 19001 22284 33426 38002 44568 57003 66852 76004 114006 133704 152008 171009 228012 342018 456024 513027 684036 1026054 1368072 2052108 4104216 11761619 23523238 35284857 47046476 70569714 94092952 105854571 141139428 211709142 282278856 317563713 423418284 635127426 846836568 1270254852 2540509704