2581920392634 has 96 divisors (see below), whose sum is σ = 6170481967104. Its totient is φ = 773733803040.

The previous prime is 2581920392627. The next prime is 2581920392641. The reversal of 2581920392634 is 4362930291852.

2581920392634 is a `hidden beast` number, since 2 + 5 + 8 + 192 + 0 + 392 + 63 + 4 = 666.

2581920392634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2581920392627) and next prime (2581920392641).

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, 14739367 + ... + 14913509.

It is an arithmetic number, because the mean of its divisors is an integer number (64275853824).

Almost surely, 2^{2581920392634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581920392634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085240983552).

2581920392634 is an abundant number, since it is smaller than the sum of its proper divisors (3588561574470).

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

2581920392634 is a wasteful number, since it uses less digits than its factorization.

2581920392634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174992 (or 174989 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2581920392634 in words is "two trillion, five hundred eighty-one billion, nine hundred twenty million, three hundred ninety-two thousand, six hundred thirty-four".