2153009664 has 240 divisors, whose sum is σ = 6768233472. Its totient is φ = 654925824.

The previous prime is 2153009653. The next prime is 2153009669. The reversal of 2153009664 is 4669003512.

It is a happy number.

It is a super-2 number, since 2×2153009664² = 9270901226554785792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2153009669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7607667 + ... + 7607949.

Almost surely, 2^2153009664 is an apocalyptic number.

2153009664 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 2153009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384116736).

2153009664 is an abundant number, since it is smaller than the sum of its proper divisors (4615223808).

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

2153009664 is a wasteful number, since it uses less digits than its factorization.

2153009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2153009664 is about 46400.5351693275. The cubic root of 2153009664 is about 1291.2648419872.

The spelling of 2153009664 in words is "two billion, one hundred fifty-three million, nine thousand, six hundred sixty-four".