2542127797800 has 240 divisors, whose sum is σ = 8830794225660. Its totient is φ = 677777310720.

The previous prime is 2542127797763. The next prime is 2542127797819. The reversal of 2542127797800 is 87977212452.

2542127797800 is a `hidden beast` number, since 2 + 542 + 1 + 2 + 7 + 7 + 97 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 592435011204 + 1949692786596 = 769698^2 + 1396314^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120144822 + ... + 120165978.

Almost surely, 2^{2542127797800} is an apocalyptic number.

2542127797800 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 2542127797800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415397112830).

2542127797800 is an abundant number, since it is smaller than the sum of its proper divisors (6288666427860).

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

2542127797800 is a wasteful number, since it uses less digits than its factorization.

2542127797800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602 (or 28584 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 2542127797800 in words is "two trillion, five hundred forty-two billion, one hundred twenty-seven million, seven hundred ninety-seven thousand, eight hundred".