2054765664 has 192 divisors, whose sum is σ = 7009390080. Its totient is φ = 573350400.

The previous prime is 2054765641. The next prime is 2054765689. The reversal of 2054765664 is 4665674502.

2054765664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256114 + ... + 264014.

It is an arithmetic number, because the mean of its divisors is an integer number (36507240).

Almost surely, 2^2054765664 is an apocalyptic number.

2054765664 is a gapful number since it is divisible by the number (24) 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 2054765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504695040).

2054765664 is an abundant number, since it is smaller than the sum of its proper divisors (4954624416).

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

2054765664 is a wasteful number, since it uses less digits than its factorization.

2054765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7970 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 2054765664 is about 45329.5230947779. The cubic root of 2054765664 is about 1271.3177188280.

The spelling of 2054765664 in words is "two billion, fifty-four million, seven hundred sixty-five thousand, six hundred sixty-four".