2126768400 has 300 divisors, whose sum is σ = 7823850804. Its totient is φ = 552960000.

The previous prime is 2126768353. The next prime is 2126768453. The reversal of 2126768400 is 48676212.

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 2120049936 = 2592^2 + 46044^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1327600 + ... + 1329200.

Almost surely, 2^2126768400 is an apocalyptic number.

2126768400 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 2126768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911925402).

2126768400 is an abundant number, since it is smaller than the sum of its proper divisors (5697082404).

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

2126768400 is a wasteful number, since it uses less digits than its factorization.

2126768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2126768400 is about 46116.8992886556. The cubic root of 2126768400 is about 1285.9973281615.

The spelling of 2126768400 in words is "two billion, one hundred twenty-six million, seven hundred sixty-eight thousand, four hundred".