2034125664 has 48 divisors (see below), whose sum is σ = 5463767232. Its totient is φ = 662272128.

The previous prime is 2034125659. The next prime is 2034125671. The reversal of 2034125664 is 4665214302.

2034125664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242254 + ... + 250509.

It is an arithmetic number, because the mean of its divisors is an integer number (113828484).

Almost surely, 2^2034125664 is an apocalyptic number.

2034125664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034125664 is an abundant number, since it is smaller than the sum of its proper divisors (3429641568).

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

2034125664 is a wasteful number, since it uses less digits than its factorization.

2034125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492819 (or 492811 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2034125664 is about 45101.2822877576. The cubic root of 2034125664 is about 1267.0466152285.

Adding to 2034125664 its reverse (4665214302), we get a palindrome (6699339966).

The spelling of 2034125664 in words is "two billion, thirty-four million, one hundred twenty-five thousand, six hundred sixty-four".