2479464000 has 448 divisors, whose sum is σ = 9807732480. Its totient is φ = 609638400.

The previous prime is 2479463977. The next prime is 2479464007. The reversal of 2479464000 is 4649742.

2479464000 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 4 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×2479464000² = 12295483454592000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2479464007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807559 + ... + 2808441.

It is an arithmetic number, because the mean of its divisors is an integer number (21892260).

Almost surely, 2^2479464000 is an apocalyptic number.

2479464000 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 2479464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903866240).

2479464000 is an abundant number, since it is smaller than the sum of its proper divisors (7328268480).

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

2479464000 is a wasteful number, since it uses less digits than its factorization.

2479464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2479464000 is about 49794.2165316415. The cubic root of 2479464000 is about 1353.4823674246.

The spelling of 2479464000 in words is "two billion, four hundred seventy-nine million, four hundred sixty-four thousand".