2153993976 has 192 divisors, whose sum is σ = 6786374400. Its totient is φ = 612209664.

The previous prime is 2153993929. The next prime is 2153993977. The reversal of 2153993976 is 6793993512.

It is a happy number.

2153993976 is a `hidden beast` number, since 2 + 1 + 539 + 9 + 39 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153993977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532875 + ... + 536901.

It is an arithmetic number, because the mean of its divisors is an integer number (35345700).

Almost surely, 2^2153993976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153993976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393187200).

2153993976 is an abundant number, since it is smaller than the sum of its proper divisors (4632380424).

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

2153993976 is a wasteful number, since it uses less digits than its factorization.

2153993976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4091 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 2153993976 is about 46411.1406453235. The cubic root of 2153993976 is about 1291.4615919688.

The spelling of 2153993976 in words is "two billion, one hundred fifty-three million, nine hundred ninety-three thousand, nine hundred seventy-six".