2103797664 has 192 divisors, whose sum is σ = 6286896000. Its totient is φ = 684288000.

The previous prime is 2103797659. The next prime is 2103797681. The reversal of 2103797664 is 4667973012.

2103797664 is a `hidden beast` number, since 210 + 379 + 7 + 6 + 64 = 666.

It is a super-2 number, since 2×2103797664² = 8851929222103713792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8381539 + ... + 8381789.

It is an arithmetic number, because the mean of its divisors is an integer number (32744250).

Almost surely, 2^2103797664 is an apocalyptic number.

2103797664 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 2103797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143448000).

2103797664 is an abundant number, since it is smaller than the sum of its proper divisors (4183098336).

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

2103797664 is a wasteful number, since it uses less digits than its factorization.

2103797664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2103797664 is about 45867.1741444794. The cubic root of 2103797664 is about 1281.3506381263.

The spelling of 2103797664 in words is "two billion, one hundred three million, seven hundred ninety-seven thousand, six hundred sixty-four".