2034731664 has 225 divisors, whose sum is σ = 6889075347. Its totient is φ = 578104128.

The previous prime is 2034731651. The next prime is 2034731707. The reversal of 2034731664 is 4661374302.

It is a happy number.

The square root of 2034731664 is 45108.

It is a perfect power (a square), and thus also a powerful number.

2034731664 is a `hidden beast` number, since 20 + 3 + 473 + 166 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11367127 + ... + 11367305.

Almost surely, 2^2034731664 is an apocalyptic number.

2034731664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2034731664 is the 45108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034731664

2034731664 is an abundant number, since it is smaller than the sum of its proper divisors (4854343683).

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

2034731664 is an equidigital number, since it uses as much as digits as its factorization.

2034731664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The cubic root of 2034731664 is about 1267.1724275165.

Multiplying 2034731664 by its sum of digits (36), we get a square (73250339904 = 270648²).

2034731664 divided by its sum of digits (36) gives a square (56520324 = 7518²).

The spelling of 2034731664 in words is "two billion, thirty-four million, seven hundred thirty-one thousand, six hundred sixty-four".