2400468480 has 160 divisors (see below), whose sum is σ = 8526909600. Its totient is φ = 640106496.

The previous prime is 2400468467. The next prime is 2400468503. The reversal of 2400468480 is 848640042.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51756 + ... + 86484.

It is an arithmetic number, because the mean of its divisors is an integer number (53293185).

Almost surely, 2^2400468480 is an apocalyptic number.

2400468480 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 2400468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263454800).

2400468480 is an abundant number, since it is smaller than the sum of its proper divisors (6126441120).

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

2400468480 is an equidigital number, since it uses as much as digits as its factorization.

2400468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34761 (or 34739 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2400468480 is about 48994.5760263317. The cubic root of 2400468480 is about 1338.9530100379.

The spelling of 2400468480 in words is "two billion, four hundred million, four hundred sixty-eight thousand, four hundred eighty".