2756426400 has 648 divisors, whose sum is σ = 12196774044. Its totient is φ = 580608000.

The previous prime is 2756426389. The next prime is 2756426401. The reversal of 2756426400 is 46246572.

2756426400 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 4 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 971194896 + 1785231504 = 31164^2 + 42252^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756426401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4586100 + ... + 4586700.

Almost surely, 2^2756426400 is an apocalyptic number.

2756426400 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 2756426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098387022).

2756426400 is an abundant number, since it is smaller than the sum of its proper divisors (9440347644).

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

2756426400 is a wasteful number, since it uses less digits than its factorization.

2756426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2756426400 is about 52501.6799731209. The cubic root of 2756426400 is about 1402.1101512082.

The spelling of 2756426400 in words is "two billion, seven hundred fifty-six million, four hundred twenty-six thousand, four hundred".