2126552400 has 480 divisors, whose sum is σ = 9033707520. Its totient is φ = 464555520.

The previous prime is 2126552387. The next prime is 2126552413. The reversal of 2126552400 is 42556212.

2126552400 is a `hidden beast` number, since 2 + 1 + 2 + 655 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2126552387) and next prime (2126552413).

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, 1738189 + ... + 1739411.

It is an arithmetic number, because the mean of its divisors is an integer number (18820224).

Almost surely, 2^2126552400 is an apocalyptic number.

2126552400 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 2126552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516853760).

2126552400 is an abundant number, since it is smaller than the sum of its proper divisors (6907155120).

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

2126552400 is a wasteful number, since it uses less digits than its factorization.

2126552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2126552400 is about 46114.5573544841. The cubic root of 2126552400 is about 1285.9537903026.

The spelling of 2126552400 in words is "two billion, one hundred twenty-six million, five hundred fifty-two thousand, four hundred".