2415327552 has 224 divisors, whose sum is σ = 7997952000. Its totient is φ = 708134400.

The previous prime is 2415327539. The next prime is 2415327559. The reversal of 2415327552 is 2557235142.

2415327552 is a `hidden beast` number, since 2 + 4 + 1 + 532 + 75 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415327559) 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, 587199 + ... + 591297.

Almost surely, 2^2415327552 is an apocalyptic number.

2415327552 is a gapful number since it is divisible by the number (22) 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 2415327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998976000).

2415327552 is an abundant number, since it is smaller than the sum of its proper divisors (5582624448).

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

2415327552 is a wasteful number, since it uses less digits than its factorization.

2415327552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4146 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 2415327552 is about 49145.9820534700. The cubic root of 2415327552 is about 1341.7100674223.

The spelling of 2415327552 in words is "two billion, four hundred fifteen million, three hundred twenty-seven thousand, five hundred fifty-two".