2015552246400 has 3072 divisors, whose sum is σ = 9849655296000. Its totient is φ = 390168576000.

The previous prime is 2015552246377. The next prime is 2015552246453. The reversal of 2015552246400 is 46422555102.

2015552246400 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 5 + 5 + 2 + 2 + 4 + 640 + 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 383 ways as a sum of consecutive naturals, for example, 5980867032 + ... + 5980867368.

It is an arithmetic number, because the mean of its divisors is an integer number (3206268000).

Almost surely, 2^{2015552246400} is an apocalyptic number.

2015552246400 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 2015552246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924827648000).

2015552246400 is an abundant number, since it is smaller than the sum of its proper divisors (7834103049600).

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

2015552246400 is a wasteful number, since it uses less digits than its factorization.

2015552246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2015552246400 in words is "two trillion, fifteen billion, five hundred fifty-two million, two hundred forty-six thousand, four hundred".