2362121664 has 56 divisors (see below), whose sum is σ = 7142610048. Its totient is φ = 674891520.

The previous prime is 2362121611. The next prime is 2362121711. The reversal of 2362121664 is 4661212632.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877422 + ... + 880109.

It is an arithmetic number, because the mean of its divisors is an integer number (127546608).

Almost surely, 2^2362121664 is an apocalyptic number.

2362121664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2362121664 is an abundant number, since it is smaller than the sum of its proper divisors (4780488384).

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

2362121664 is a wasteful number, since it uses less digits than its factorization.

2362121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757553 (or 1757543 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 2362121664 is about 48601.6631814180. The cubic root of 2362121664 is about 1331.7849033585.

The spelling of 2362121664 in words is "two billion, three hundred sixty-two million, one hundred twenty-one thousand, six hundred sixty-four".