2496478400 has 168 divisors, whose sum is σ = 6964710480. Its totient is φ = 873123840.

The previous prime is 2496478337. The next prime is 2496478417. The reversal of 2496478400 is 48746942.

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, 392042 + ... + 398358.

It is an arithmetic number, because the mean of its divisors is an integer number (41456610).

Almost surely, 2^2496478400 is an apocalyptic number.

2496478400 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 2496478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482355240).

2496478400 is an abundant number, since it is smaller than the sum of its proper divisors (4468232080).

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

2496478400 is a wasteful number, since it uses less digits than its factorization.

2496478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2496478400 is about 49964.7715895910. The cubic root of 2496478400 is about 1356.5712359618.

It can be divided in two parts, 24964 and 78400, that multiplied together give a square (1957177600 = 44240²).

The spelling of 2496478400 in words is "two billion, four hundred ninety-six million, four hundred seventy-eight thousand, four hundred".