2415870688 has 192 divisors, whose sum is σ = 6326304768. Its totient is φ = 880197120.

The previous prime is 2415870683. The next prime is 2415870689. The reversal of 2415870688 is 8860785142.

It is a super-2 number, since 2×2415870688² = 11672862362275186688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415870683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2663131 + ... + 2664037.

It is an arithmetic number, because the mean of its divisors is an integer number (32949504).

Almost surely, 2^2415870688 is an apocalyptic number.

2415870688 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 2415870688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163152384).

2415870688 is an abundant number, since it is smaller than the sum of its proper divisors (3910434080).

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

2415870688 is a wasteful number, since it uses less digits than its factorization.

2415870688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The square root of 2415870688 is about 49151.5074845116. The cubic root of 2415870688 is about 1341.8106302385.

It can be divided in two parts, 241 and 5870688, that added together give a square (5870929 = 2423²).

The spelling of 2415870688 in words is "two billion, four hundred fifteen million, eight hundred seventy thousand, six hundred eighty-eight".