2120735520 has 120 divisors (see below), whose sum is σ = 7484474844. Its totient is φ = 565526016.

The previous prime is 2120735509. The next prime is 2120735543. The reversal of 2120735520 is 255370212.

2120735520 is a `hidden beast` number, since 21 + 20 + 73 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2120049936 + 685584 = 46044^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68859 + ... + 94778.

Almost surely, 2^2120735520 is an apocalyptic number.

2120735520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120735520 is an abundant number, since it is smaller than the sum of its proper divisors (5363739324).

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

2120735520 is a wasteful number, since it uses less digits than its factorization.

2120735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163664 (or 163647 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2120735520 is about 46051.4442770257. Note that the first 3 decimals coincide. The cubic root of 2120735520 is about 1284.7802053580.

The spelling of 2120735520 in words is "two billion, one hundred twenty million, seven hundred thirty-five thousand, five hundred twenty".