2126510400 has 336 divisors, whose sum is σ = 8395573760. Its totient is φ = 460339200.

The previous prime is 2126510389. The next prime is 2126510411. The reversal of 2126510400 is 40156212.

It is an interprime number because it is at equal distance from previous prime (2126510389) and next prime (2126510411).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636735 + ... + 640065.

Almost surely, 2^2126510400 is an apocalyptic number.

2126510400 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 2126510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197786880).

2126510400 is an abundant number, since it is smaller than the sum of its proper divisors (6269063360).

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

2126510400 is a wasteful number, since it uses less digits than its factorization.

2126510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2126510400 is about 46114.1019645835. The cubic root of 2126510400 is about 1285.9453242655.

Adding to 2126510400 its reverse (40156212), we get a palindrome (2166666612).

The spelling of 2126510400 in words is "two billion, one hundred twenty-six million, five hundred ten thousand, four hundred".