2480892960 has 576 divisors, whose sum is σ = 10279809792. Its totient is φ = 490733568.

The previous prime is 2480892959. The next prime is 2480892961. The reversal of 2480892960 is 692980842.

2480892960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2480892959) and next prime (2480892961).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2480892961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9653152 + ... + 9653408.

It is an arithmetic number, because the mean of its divisors is an integer number (17846892).

Almost surely, 2^2480892960 is an apocalyptic number.

2480892960 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 2480892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139904896).

2480892960 is an abundant number, since it is smaller than the sum of its proper divisors (7798916832).

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

2480892960 is a wasteful number, since it uses less digits than its factorization.

2480892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2480892960 is about 49808.5631192067. The cubic root of 2480892960 is about 1353.7423296229.

The spelling of 2480892960 in words is "two billion, four hundred eighty million, eight hundred ninety-two thousand, nine hundred sixty".