2520400000 has 96 divisors (see below), whose sum is σ = 6276981060. Its totient is φ = 1008000000.

The previous prime is 2520399983. The next prime is 2520400019. The reversal of 2520400000 is 40252.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 214095424 + 2306304576 = 14632^2 + 48024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396850 + ... + 403150.

Almost surely, 2^2520400000 is an apocalyptic number.

2520400000 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 2520400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138490530).

2520400000 is an abundant number, since it is smaller than the sum of its proper divisors (3756581060).

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

2520400000 is an frugal number, since it uses more digits than its factorization.

2520400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2520400000 is about 50203.5855293225. The cubic root of 2520400000 is about 1360.8904203562.

Adding to 2520400000 its reverse (40252), we get a palindrome (2520440252).

The spelling of 2520400000 in words is "two billion, five hundred twenty million, four hundred thousand".