2485762513920 has 1056 divisors, whose sum is σ = 10374437578752. Its totient is φ = 538029195264.

The previous prime is 2485762513901. The next prime is 2485762513961. The reversal of 2485762513920 is 293152675842.

2485762513920 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 7 + 625 + 1 + 3 + 9 + 2 + 0 = 666.

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, 764143014 + ... + 764146266.

It is a 1-persistent number, because it is pandigital, but 2⋅2485762513920 = 4971525027840 is not.

Almost surely, 2^{2485762513920} is an apocalyptic number.

2485762513920 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 2485762513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187218789376).

2485762513920 is an abundant number, since it is smaller than the sum of its proper divisors (7888675064832).

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

2485762513920 is a wasteful number, since it uses less digits than its factorization.

2485762513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2485762513920 in words is "two trillion, four hundred eighty-five billion, seven hundred sixty-two million, five hundred thirteen thousand, nine hundred twenty".