2126930400 has 504 divisors, whose sum is σ = 8914210704. Its totient is φ = 485222400.

The previous prime is 2126930363. The next prime is 2126930411. The reversal of 2126930400 is 40396212.

2126930400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×2126930400³ (a number of 29 digits) contains 333 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 83 ways as a sum of consecutive naturals, for example, 4082140 + ... + 4082660.

It is an arithmetic number, because the mean of its divisors is an integer number (17686926).

Almost surely, 2^2126930400 is an apocalyptic number.

2126930400 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 2126930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457105352).

2126930400 is an abundant number, since it is smaller than the sum of its proper divisors (6787280304).

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

2126930400 is an equidigital number, since it uses as much as digits as its factorization.

2126930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2126930400 is about 46118.6556612397. The cubic root of 2126930400 is about 1286.0299796211.

The spelling of 2126930400 in words is "two billion, one hundred twenty-six million, nine hundred thirty thousand, four hundred".