2480750210400 has 576 divisors, whose sum is σ = 10505063632896. Its totient is φ = 493067520000.

The previous prime is 2480750210359. The next prime is 2480750210453. The reversal of 2480750210400 is 40120570842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3958575 + ... + 4542225.

It is an arithmetic number, because the mean of its divisors is an integer number (18237957696).

Almost surely, 2^{2480750210400} is an apocalyptic number.

2480750210400 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 2480750210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252531816448).

2480750210400 is an abundant number, since it is smaller than the sum of its proper divisors (8024313422496).

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

2480750210400 is a wasteful number, since it uses less digits than its factorization.

2480750210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583715 (or 583702 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 2480750210400 in words is "two trillion, four hundred eighty billion, seven hundred fifty million, two hundred ten thousand, four hundred".