2487542400 has 576 divisors, whose sum is σ = 10542866880. Its totient is φ = 567336960.

The previous prime is 2487542371. The next prime is 2487542411. The reversal of 2487542400 is 42457842.

2487542400 is a `hidden beast` number, since 248 + 7 + 5 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5442972 + ... + 5443428.

Almost surely, 2^2487542400 is an apocalyptic number.

2487542400 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 2487542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271433440).

2487542400 is an abundant number, since it is smaller than the sum of its proper divisors (8055324480).

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

2487542400 is an equidigital number, since it uses as much as digits as its factorization.

2487542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2487542400 is about 49875.2684203303. The cubic root of 2487542400 is about 1354.9507114781.

The spelling of 2487542400 in words is "two billion, four hundred eighty-seven million, five hundred forty-two thousand, four hundred".