2520405248 has 54 divisors (see below), whose sum is σ = 5137809642. Its totient is φ = 1233556480.

The previous prime is 2520405197. The next prime is 2520405281. The reversal of 2520405248 is 8425040252.

It can be written as a sum of positive squares in only one way, i.e., 2330185984 + 190219264 = 48272^2 + 13792^2 .

It is a super-2 number, since 2×2520405248² = 12704885228291883008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5847593 + ... + 5848023.

It is an arithmetic number, because the mean of its divisors is an integer number (95144623).

Almost surely, 2^2520405248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568904821).

2520405248 is an abundant number, since it is smaller than the sum of its proper divisors (2617404394).

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

2520405248 is an frugal number, since it uses more digits than its factorization.

2520405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 2520405248 is about 50203.6377964785. The cubic root of 2520405248 is about 1360.8913649084.

The spelling of 2520405248 in words is "two billion, five hundred twenty million, four hundred five thousand, two hundred forty-eight".