2474908800 has 384 divisors, whose sum is σ = 10036440960. Its totient is φ = 521994240.

The previous prime is 2474908741. The next prime is 2474908861. The reversal of 2474908800 is 88094742.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2474908800² = 12250347136634880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872184 + ... + 875016.

It is an arithmetic number, because the mean of its divisors is an integer number (26136565).

Almost surely, 2^2474908800 is an apocalyptic number.

2474908800 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 2474908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018220480).

2474908800 is an abundant number, since it is smaller than the sum of its proper divisors (7561532160).

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

2474908800 is a wasteful number, since it uses less digits than its factorization.

2474908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2474908800 is about 49748.4552523995. The cubic root of 2474908800 is about 1352.6529996849.

The spelling of 2474908800 in words is "two billion, four hundred seventy-four million, nine hundred eight thousand, eight hundred".