2515452408 has 512 divisors, whose sum is σ = 9068544000. Its totient is φ = 637414272.

The previous prime is 2515452391. The next prime is 2515452421. The reversal of 2515452408 is 8042545152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53520241 + ... + 53520287.

It is an arithmetic number, because the mean of its divisors is an integer number (17712000).

Almost surely, 2^2515452408 is an apocalyptic number.

2515452408 is a gapful number since it is divisible by the number (28) 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 2515452408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534272000).

2515452408 is an abundant number, since it is smaller than the sum of its proper divisors (6553091592).

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

2515452408 is a wasteful number, since it uses less digits than its factorization.

2515452408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 2515452408 is about 50154.2860381842. The cubic root of 2515452408 is about 1359.9993526525. Note that the first 3 decimals are identical.

The spelling of 2515452408 in words is "two billion, five hundred fifteen million, four hundred fifty-two thousand, four hundred eight".