2613951040 has 56 divisors (see below), whose sum is σ = 6229194552. Its totient is φ = 1044787200.

The previous prime is 2613951029. The next prime is 2613951061. The reversal of 2613951040 is 401593162.

2613951040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22733824 + 2591217216 = 4768^2 + 50904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2613950993 and 2613951011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606172 + ... + 610468.

It is an arithmetic number, because the mean of its divisors is an integer number (111235617).

Almost surely, 2^2613951040 is an apocalyptic number.

2613951040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2613951040 is an abundant number, since it is smaller than the sum of its proper divisors (3615243512).

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

2613951040 is a wasteful number, since it uses less digits than its factorization.

2613951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 2613951040 is about 51126.8133174756. The cubic root of 2613951040 is about 1377.5239223209.

The spelling of 2613951040 in words is "two billion, six hundred thirteen million, nine hundred fifty-one thousand, forty".