2102331564000 has 768 divisors, whose sum is σ = 7938649555200. Its totient is φ = 539965440000.

The previous prime is 2102331563987. The next prime is 2102331564043. The reversal of 2102331564000 is 4651332012.

2102331564000 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 3 + 3 + 15 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403593396 + ... + 403598604.

It is an arithmetic number, because the mean of its divisors is an integer number (10336783275).

Almost surely, 2^{2102331564000} is an apocalyptic number.

2102331564000 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 2102331564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969324777600).

2102331564000 is an abundant number, since it is smaller than the sum of its proper divisors (5836317991200).

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

2102331564000 is a wasteful number, since it uses less digits than its factorization.

2102331564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5381 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2102331564000 its reverse (4651332012), we get a palindrome (2106982896012).

The spelling of 2102331564000 in words is "two trillion, one hundred two billion, three hundred thirty-one million, five hundred sixty-four thousand".