2954413029568 has 336 divisors, whose sum is σ = 8276060298240. Its totient is φ = 1016323799040.

The previous prime is 2954413029541. The next prime is 2954413029593. The reversal of 2954413029568 is 8659203144592.

It is a happy number.

2954413029568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16117053 + ... + 16299331.

It is an arithmetic number, because the mean of its divisors is an integer number (24631131840).

Almost surely, 2^{2954413029568} is an apocalyptic number.

2954413029568 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 2954413029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138030149120).

2954413029568 is an abundant number, since it is smaller than the sum of its proper divisors (5321647268672).

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

2954413029568 is a wasteful number, since it uses less digits than its factorization.

2954413029568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182356 (or 182335 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 2954413029568 in words is "two trillion, nine hundred fifty-four billion, four hundred thirteen million, twenty-nine thousand, five hundred sixty-eight".