2542766400 has 252 divisors, whose sum is σ = 9350768700. Its totient is φ = 654581760.

The previous prime is 2542766393. The next prime is 2542766419. The reversal of 2542766400 is 46672452.

2542766400 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 7 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 187799616 + 2354966784 = 13704^2 + 48528^2 .

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 35 ways as a sum of consecutive naturals, for example, 414556 + ... + 420644.

It is an arithmetic number, because the mean of its divisors is an integer number (37106225).

Almost surely, 2^2542766400 is an apocalyptic number.

2542766400 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 2542766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675384350).

2542766400 is an abundant number, since it is smaller than the sum of its proper divisors (6808002300).

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

2542766400 is a wasteful number, since it uses less digits than its factorization.

2542766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6128 counting only the distinct ones).

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

The square root of 2542766400 is about 50425.8505134023. The cubic root of 2542766400 is about 1364.9041513827.

The spelling of 2542766400 in words is "two billion, five hundred forty-two million, seven hundred sixty-six thousand, four hundred".