2515640400 has 540 divisors, whose sum is σ = 10946416572. Its totient is φ = 530288640.

The previous prime is 2515640353. The next prime is 2515640401. The reversal of 2515640400 is 40465152.

2515640400 is a `hidden beast` number, since 2 + 5 + 15 + 640 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 473323536 + 2042316864 = 21756^2 + 45192^2 .

It is a super-2 number, since 2×2515640400² = 12656893244224320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2515640401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2292652 + ... + 2293748.

Almost surely, 2^2515640400 is an apocalyptic number.

2515640400 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 2515640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473208286).

2515640400 is an abundant number, since it is smaller than the sum of its proper divisors (8430776172).

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

2515640400 is a wasteful number, since it uses less digits than its factorization.

2515640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2515640400 is about 50156.1601401064. The cubic root of 2515640400 is about 1360.0332315986.

It can be divided in two parts, 25156 and 40400, that added together give a palindrome (65556).

The spelling of 2515640400 in words is "two billion, five hundred fifteen million, six hundred forty thousand, four hundred".