2484400464 has 160 divisors (see below), whose sum is σ = 8776938240. Its totient is φ = 655216128.

The previous prime is 2484400447. The next prime is 2484400469. The reversal of 2484400464 is 4640044842.

2484400464 is a `hidden beast` number, since 248 + 4 + 400 + 4 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484400469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7714 + ... + 70910.

It is an arithmetic number, because the mean of its divisors is an integer number (54855864).

Almost surely, 2^2484400464 is an apocalyptic number.

2484400464 is a gapful number since it is divisible by the number (24) 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 2484400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388469120).

2484400464 is an abundant number, since it is smaller than the sum of its proper divisors (6292537776).

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

2484400464 is a wasteful number, since it uses less digits than its factorization.

2484400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63234 (or 63222 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2484400464 is about 49843.7605322873. The cubic root of 2484400464 is about 1354.3800060244.

The spelling of 2484400464 in words is "two billion, four hundred eighty-four million, four hundred thousand, four hundred sixty-four".