2456048400 has 240 divisors, whose sum is σ = 8516704896. Its totient is φ = 601436160.

The previous prime is 2456048383. The next prime is 2456048417. The reversal of 2456048400 is 48406542.

It is an interprime number because it is at equal distance from previous prime (2456048383) and next prime (2456048417).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4882549 + ... + 4883051.

Almost surely, 2^2456048400 is an apocalyptic number.

2456048400 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 2456048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258352448).

2456048400 is an abundant number, since it is smaller than the sum of its proper divisors (6060656496).

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

2456048400 is a wasteful number, since it uses less digits than its factorization.

2456048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2456048400 is about 49558.5350873086. The cubic root of 2456048400 is about 1349.2082051016.

The spelling of 2456048400 in words is "two billion, four hundred fifty-six million, forty-eight thousand, four hundred".