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2540951812 = 2272930710193
BaseRepresentation
bin1001011101110011…
…1101100100000100
320120002020201121101
42113130331210010
520200440424222
61100045225444
7116652506530
oct22734754404
96502221541
102540951812
111094334783
125aab62284
1331656a2a9
141a1670bc0
15ed119927
hex9773d904

2540951812 has 48 divisors (see below), whose sum is σ = 5274783360. Its totient is φ = 1047900672.

The previous prime is 2540951759. The next prime is 2540951827. The reversal of 2540951812 is 2181590452.

2540951812 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 2×25409518122 = 12912872221812166688, 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, 244188 + ... + 254380.

It is an arithmetic number, because the mean of its divisors is an integer number (109891320).

Almost surely, 22540951812 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 2540951812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637391680).

2540951812 is an abundant number, since it is smaller than the sum of its proper divisors (2733831548).

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

2540951812 is a wasteful number, since it uses less digits than its factorization.

2540951812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 2540951812 is about 50407.8546657165. The cubic root of 2540951812 is about 1364.5793964119.

The spelling of 2540951812 in words is "two billion, five hundred forty million, nine hundred fifty-one thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 307 406 614 812 1228 2149 4298 8596 8903 10193 17806 20386 35612 40772 62321 71351 124642 142702 249284 285404 295597 591194 1182388 2069179 3129251 4138358 6258502 8276716 12517004 21904757 43809514 87619028 90748279 181496558 362993116 635237953 1270475906 2540951812