2120058864 has 240 divisors, whose sum is σ = 7504233984. Its totient is φ = 542707200.

The previous prime is 2120058851. The next prime is 2120058877. The reversal of 2120058864 is 4688500212.

2120058864 is a `hidden beast` number, since 2 + 12 + 0 + 0 + 588 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2120058851) and next prime (2120058877).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785902 + ... + 788594.

Almost surely, 2^2120058864 is an apocalyptic number.

2120058864 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 2120058864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752116992).

2120058864 is an abundant number, since it is smaller than the sum of its proper divisors (5384175120).

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

2120058864 is a wasteful number, since it uses less digits than its factorization.

2120058864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2120058864 is about 46044.0969506407. The cubic root of 2120058864 is about 1284.6435473128.

The spelling of 2120058864 in words is "two billion, one hundred twenty million, fifty-eight thousand, eight hundred sixty-four".