2515040640 has 768 divisors, whose sum is σ = 10820160000. Its totient is φ = 536481792.

The previous prime is 2515040629. The next prime is 2515040651. The reversal of 2515040640 is 460405152.

2515040640 is a `hidden beast` number, since 2 + 5 + 15 + 0 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2515040629) and next prime (2515040651).

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, 37537887 + ... + 37537953.

It is an arithmetic number, because the mean of its divisors is an integer number (14088750).

Almost surely, 2^2515040640 is an apocalyptic number.

2515040640 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 2515040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410080000).

2515040640 is an abundant number, since it is smaller than the sum of its proper divisors (8305119360).

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

2515040640 is a wasteful number, since it uses less digits than its factorization.

2515040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

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

The square root of 2515040640 is about 50150.1808571016. The cubic root of 2515040640 is about 1359.9251400548.

Adding to 2515040640 its reverse (460405152), we get a palindrome (2975445792).

The spelling of 2515040640 in words is "two billion, five hundred fifteen million, forty thousand, six hundred forty".