2480432640 has 640 divisors, whose sum is σ = 9852226560. Its totient is φ = 520224768.

The previous prime is 2480432627. The next prime is 2480432671. The reversal of 2480432640 is 462340842.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57684459 + ... + 57684501.

It is an arithmetic number, because the mean of its divisors is an integer number (15394104).

Almost surely, 2^2480432640 is an apocalyptic number.

2480432640 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 2480432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926113280).

2480432640 is an abundant number, since it is smaller than the sum of its proper divisors (7371793920).

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

2480432640 is a wasteful number, since it uses less digits than its factorization.

2480432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2480432640 is about 49803.9420126560. The cubic root of 2480432640 is about 1353.6585972431.

The spelling of 2480432640 in words is "two billion, four hundred eighty million, four hundred thirty-two thousand, six hundred forty".