2792530945152 has 384 divisors, whose sum is σ = 9025335621120. Its totient is φ = 822937190400.

The previous prime is 2792530945133. The next prime is 2792530945231. The reversal of 2792530945152 is 2515490352972.

2792530945152 is a `hidden beast` number, since 2 + 7 + 9 + 2 + 5 + 30 + 94 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 45001827 + ... + 45063837.

It is an arithmetic number, because the mean of its divisors is an integer number (23503478180).

Almost surely, 2^{2792530945152} 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 2792530945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512667810560).

2792530945152 is an abundant number, since it is smaller than the sum of its proper divisors (6232804675968).

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

2792530945152 is a wasteful number, since it uses less digits than its factorization.

2792530945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62172 (or 62157 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 2792530945152 in words is "two trillion, seven hundred ninety-two billion, five hundred thirty million, nine hundred forty-five thousand, one hundred fifty-two".