2956233450408 has 384 divisors, whose sum is σ = 9426565693440. Its totient is φ = 755464320000.

The previous prime is 2956233450347. The next prime is 2956233450479. The reversal of 2956233450408 is 8040543326592.

It is a super-2 number, since 2×2956233450408² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77064433 + ... + 77102783.

It is an arithmetic number, because the mean of its divisors is an integer number (24548348160).

Almost surely, 2^{2956233450408} is an apocalyptic number.

2956233450408 is a gapful number since it is divisible by the number (28) 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 2956233450408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713282846720).

2956233450408 is an abundant number, since it is smaller than the sum of its proper divisors (6470332243032).

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

2956233450408 is a wasteful number, since it uses less digits than its factorization.

2956233450408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38477 (or 38454 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 2956233450408 in words is "two trillion, nine hundred fifty-six billion, two hundred thirty-three million, four hundred fifty thousand, four hundred eight".