2137421664 has 72 divisors (see below), whose sum is σ = 6946626960. Its totient is φ = 610691328.

The previous prime is 2137421659. The next prime is 2137421681. The reversal of 2137421664 is 4661247312.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528099 + ... + 532130.

It is an arithmetic number, because the mean of its divisors is an integer number (96480930).

Almost surely, 2^2137421664 is an apocalyptic number.

2137421664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2137421664 is an abundant number, since it is smaller than the sum of its proper divisors (4809205296).

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

2137421664 is a wasteful number, since it uses less digits than its factorization.

2137421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060252 (or 1060241 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2137421664 is about 46232.2578293555. The cubic root of 2137421664 is about 1288.1409963569.

Adding to 2137421664 its reverse (4661247312), we get a palindrome (6798668976).

It can be divided in two parts, 2137 and 421664, that added together give a square (423801 = 651²).

The spelling of 2137421664 in words is "two billion, one hundred thirty-seven million, four hundred twenty-one thousand, six hundred sixty-four".