2479791600 has 360 divisors, whose sum is σ = 10112134032. Its totient is φ = 554803200.

The previous prime is 2479791599. The next prime is 2479791679. The reversal of 2479791600 is 61979742.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2479791600² = 12298732758861120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 512392 + ... + 517208.

Almost surely, 2^2479791600 is an apocalyptic number.

2479791600 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 2479791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056067016).

2479791600 is an abundant number, since it is smaller than the sum of its proper divisors (7632342432).

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

2479791600 is a wasteful number, since it uses less digits than its factorization.

2479791600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2479791600 is about 49797.5059616443. The cubic root of 2479791600 is about 1353.5419745678.

The spelling of 2479791600 in words is "two billion, four hundred seventy-nine million, seven hundred ninety-one thousand, six hundred".