2029932317664 has 384 divisors, whose sum is σ = 6409772974080. Its totient is φ = 622563581952.

The previous prime is 2029932317659. The next prime is 2029932317689. The reversal of 2029932317664 is 4667132399202.

2029932317664 is a `hidden beast` number, since 2 + 0 + 2 + 99 + 323 + 176 + 64 = 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 2029932317664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1113511057 + ... + 1113512879.

It is an arithmetic number, because the mean of its divisors is an integer number (16692117120).

Almost surely, 2^{2029932317664} is an apocalyptic number.

2029932317664 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 2029932317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204886487040).

2029932317664 is an abundant number, since it is smaller than the sum of its proper divisors (4379840656416).

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

2029932317664 is a wasteful number, since it uses less digits than its factorization.

2029932317664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2029932317664 in words is "two trillion, twenty-nine billion, nine hundred thirty-two million, three hundred seventeen thousand, six hundred sixty-four".