2415606648 has 256 divisors, whose sum is σ = 8167219200. Its totient is φ = 577082880.

The previous prime is 2415606637. The next prime is 2415606727. The reversal of 2415606648 is 8466065142.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953143 + ... + 955673.

It is an arithmetic number, because the mean of its divisors is an integer number (31903200).

Almost surely, 2^2415606648 is an apocalyptic number.

2415606648 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 2415606648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083609600).

2415606648 is an abundant number, since it is smaller than the sum of its proper divisors (5751612552).

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

2415606648 is a wasteful number, since it uses less digits than its factorization.

2415606648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2415606648 is about 49148.8214304270. The cubic root of 2415606648 is about 1341.7617445388.

The spelling of 2415606648 in words is "two billion, four hundred fifteen million, six hundred six thousand, six hundred forty-eight".