2107976720 has 40 divisors (see below), whose sum is σ = 4904786520. Its totient is φ = 842547200.

The previous prime is 2107976711. The next prime is 2107976729. The reversal of 2107976720 is 276797012.

It is an interprime number because it is at equal distance from previous prime (2107976711) and next prime (2107976729).

It can be written as a sum of positive squares in 4 ways, for example, as 77933584 + 2030043136 = 8828^2 + 45056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×2107976720⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2107976729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103370 + ... + 122070.

It is an arithmetic number, because the mean of its divisors is an integer number (122619663).

Almost surely, 2^2107976720 is an apocalyptic number.

2107976720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107976720 is an abundant number, since it is smaller than the sum of its proper divisors (2796809800).

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

2107976720 is a wasteful number, since it uses less digits than its factorization.

2107976720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 2107976720 is about 45912.7076091141. The cubic root of 2107976720 is about 1282.1985166074.

The spelling of 2107976720 in words is "two billion, one hundred seven million, nine hundred seventy-six thousand, seven hundred twenty".