2132897033664 has 672 divisors, whose sum is σ = 6829377085440. Its totient is φ = 657657004032.

The previous prime is 2132897033653. The next prime is 2132897033693. The reversal of 2132897033664 is 4663307982312.

2132897033664 is a `hidden beast` number, since 2 + 132 + 89 + 70 + 3 + 366 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2132897033664.

It is a congruent number.

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, 4667170524 + ... + 4667170980.

It is an arithmetic number, because the mean of its divisors is an integer number (10162763520).

Almost surely, 2^{2132897033664} is an apocalyptic number.

2132897033664 is a gapful number since it is divisible by the number (24) 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 2132897033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414688542720).

2132897033664 is an abundant number, since it is smaller than the sum of its proper divisors (4696480051776).

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

2132897033664 is a wasteful number, since it uses less digits than its factorization.

2132897033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2132897033664 in words is "two trillion, one hundred thirty-two billion, eight hundred ninety-seven million, thirty-three thousand, six hundred sixty-four".