2542492800 has 480 divisors, whose sum is σ = 9951478020. Its totient is φ = 637009920.

The previous prime is 2542492789. The next prime is 2542492801. The reversal of 2542492800 is 82942452.

It can be written as a sum of positive squares in 6 ways, for example, as 2103506496 + 438986304 = 45864^2 + 20952^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2542492801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406112 + ... + 4406688.

Almost surely, 2^2542492800 is an apocalyptic number.

2542492800 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 2542492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975739010).

2542492800 is an abundant number, since it is smaller than the sum of its proper divisors (7408985220).

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

2542492800 is a wasteful number, since it uses less digits than its factorization.

2542492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2542492800 is about 50423.1375461702. The cubic root of 2542492800 is about 1364.8551953624.

It can be divided in two parts, 254249 and 2800, that added together give a square (257049 = 507²).

The spelling of 2542492800 in words is "two billion, five hundred forty-two million, four hundred ninety-two thousand, eight hundred".