2956433040 has 160 divisors (see below), whose sum is σ = 11109110400. Its totient is φ = 716705280.

The previous prime is 2956433033. The next prime is 2956433047. The reversal of 2956433040 is 403346592.

2956433040 is a `hidden beast` number, since 2 + 9 + 5 + 643 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2956433033) and next prime (2956433047).

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

It is a junction number, because it is equal to n+sod(n) for n = 2956432986 and 2956433004.

It is not an unprimeable number, because it can be changed into a prime (2956433047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38455 + ... + 85974.

It is an arithmetic number, because the mean of its divisors is an integer number (69431940).

Almost surely, 2^2956433040 is an apocalyptic number.

2956433040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2956433040 is an abundant number, since it is smaller than the sum of its proper divisors (8152677360).

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

2956433040 is a wasteful number, since it uses less digits than its factorization.

2956433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124462 (or 124450 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2956433040 is about 54373.0911389080. The cubic root of 2956433040 is about 1435.2338953528.

The spelling of 2956433040 in words is "two billion, nine hundred fifty-six million, four hundred thirty-three thousand, forty".