2542756608 has 324 divisors, whose sum is σ = 8651418048. Its totient is φ = 716083200.

The previous prime is 2542756553. The next prime is 2542756637. The reversal of 2542756608 is 8066572452.

It is a super-2 number, since 2×2542756608² = 12931222335055331328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 11402385 + ... + 11402607.

Almost surely, 2^2542756608 is an apocalyptic number.

2542756608 is a gapful number since it is divisible by the number (28) 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 2542756608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325709024).

2542756608 is an abundant number, since it is smaller than the sum of its proper divisors (6108661440).

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

2542756608 is a wasteful number, since it uses less digits than its factorization.

2542756608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2542756608 is about 50425.7534202514. The cubic root of 2542756608 is about 1364.9023993331.

The spelling of 2542756608 in words is "two billion, five hundred forty-two million, seven hundred fifty-six thousand, six hundred eight".