2542551542400 has 384 divisors, whose sum is σ = 8474481259200. Its totient is φ = 669966336000.

The previous prime is 2542551542353. The next prime is 2542551542407. The reversal of 2542551542400 is 42451552452.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2542551542407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303077406 + ... + 303085794.

Almost surely, 2^{2542551542400} is an apocalyptic number.

2542551542400 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 2542551542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237240629600).

2542551542400 is an abundant number, since it is smaller than the sum of its proper divisors (5931929716800).

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

2542551542400 is a wasteful number, since it uses less digits than its factorization.

2542551542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 39.

The spelling of 2542551542400 in words is "two trillion, five hundred forty-two billion, five hundred fifty-one million, five hundred forty-two thousand, four hundred".