2415521552400 has 480 divisors, whose sum is σ = 9484479561600. Its totient is φ = 578998886400.

The previous prime is 2415521552359. The next prime is 2415521552417. The reversal of 2415521552400 is 42551255142.

2415521552400 is a `hidden beast` number, since 2 + 4 + 1 + 552 + 15 + 52 + 40 + 0 = 666.

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

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, 10458972 + ... + 10687428.

It is an arithmetic number, because the mean of its divisors is an integer number (19759332420).

Almost surely, 2^{2415521552400} is an apocalyptic number.

2415521552400 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 2415521552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742239780800).

2415521552400 is an abundant number, since it is smaller than the sum of its proper divisors (7068958009200).

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

2415521552400 is a wasteful number, since it uses less digits than its factorization.

2415521552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228584 (or 228567 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 2415521552400 in words is "two trillion, four hundred fifteen billion, five hundred twenty-one million, five hundred fifty-two thousand, four hundred".