2130815700 has 288 divisors, whose sum is σ = 7813249920. Its totient is φ = 493516800.

The previous prime is 2130815699. The next prime is 2130815711. The reversal of 2130815700 is 75180312.

2130815700 is a `hidden beast` number, since 2 + 13 + 0 + 81 + 570 + 0 = 666.

2130815700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2130815700⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594915 + ... + 598485.

It is an arithmetic number, because the mean of its divisors is an integer number (27129340).

Almost surely, 2^2130815700 is an apocalyptic number.

2130815700 is a gapful number since it is divisible by the number (20) 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 2130815700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906624960).

2130815700 is an abundant number, since it is smaller than the sum of its proper divisors (5682434220).

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

2130815700 is a wasteful number, since it uses less digits than its factorization.

2130815700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2130815700 is about 46160.7593091795. The cubic root of 2130815700 is about 1286.8125742464.

The spelling of 2130815700 in words is "two billion, one hundred thirty million, eight hundred fifteen thousand, seven hundred".