2153378304 has 720 divisors, whose sum is σ = 8592708960. Its totient is φ = 526417920.

The previous prime is 2153378303. The next prime is 2153378347. The reversal of 2153378304 is 4038733512.

2153378304 is a `hidden beast` number, since 2 + 15 + 337 + 8 + 304 = 666.

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 (2153378303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126669304 + ... + 126669320.

It is an arithmetic number, because the mean of its divisors is an integer number (11934318).

Almost surely, 2^2153378304 is an apocalyptic number.

2153378304 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 2153378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296354480).

2153378304 is an abundant number, since it is smaller than the sum of its proper divisors (6439330656).

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

2153378304 is a wasteful number, since it uses less digits than its factorization.

2153378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2153378304 is about 46404.5073672806. The cubic root of 2153378304 is about 1291.3385349071.

The spelling of 2153378304 in words is "two billion, one hundred fifty-three million, three hundred seventy-eight thousand, three hundred four".