2542774800 has 120 divisors (see below), whose sum is σ = 8205340896. Its totient is φ = 673080320.

The previous prime is 2542774789. The next prime is 2542774873. The reversal of 2542774800 is 84772452.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156667 + ... + 172133.

Almost surely, 2^2542774800 is an apocalyptic number.

2542774800 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 2542774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102670448).

2542774800 is an abundant number, since it is smaller than the sum of its proper divisors (5662566096).

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

2542774800 is a wasteful number, since it uses less digits than its factorization.

2542774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 2542774800 is about 50425.9338039466. The cubic root of 2542774800 is about 1364.9056543629.

The spelling of 2542774800 in words is "two billion, five hundred forty-two million, seven hundred seventy-four thousand, eight hundred".