2153920608 has 144 divisors (see below), whose sum is σ = 7022695680. Its totient is φ = 613433088.

The previous prime is 2153920591. The next prime is 2153920649. The reversal of 2153920608 is 8060293512.

2153920608 is a `hidden beast` number, since 2 + 15 + 39 + 2 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698013 + ... + 701091.

It is an arithmetic number, because the mean of its divisors is an integer number (48768720).

Almost surely, 2^2153920608 is an apocalyptic number.

2153920608 is a gapful number since it is divisible by the number (28) 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 2153920608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511347840).

2153920608 is an abundant number, since it is smaller than the sum of its proper divisors (4868775072).

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

2153920608 is a wasteful number, since it uses less digits than its factorization.

2153920608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2153920608 is about 46410.3502249229. The cubic root of 2153920608 is about 1291.4469288158.

It can be divided in two parts, 2153 and 920608, that added together give a triangular number (922761 = T₁₃₅₈).

The spelling of 2153920608 in words is "two billion, one hundred fifty-three million, nine hundred twenty thousand, six hundred eight".