2154531960 has 480 divisors, whose sum is σ = 8655459120. Its totient is φ = 479001600.

The previous prime is 2154531949. The next prime is 2154532019. The reversal of 2154531960 is 691354512.

2154531960 is a `hidden beast` number, since 2 + 15 + 453 + 196 + 0 = 666.

It is a super-2 number, since 2×2154531960² = 9284015933322883200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6508995 + ... + 6509325.

Almost surely, 2^2154531960 is an apocalyptic number.

2154531960 is a gapful number since it is divisible by the number (20) 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 2154531960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327729560).

2154531960 is an abundant number, since it is smaller than the sum of its proper divisors (6500927160).

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

2154531960 is a wasteful number, since it uses less digits than its factorization.

2154531960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2154531960 is about 46416.9361332693. The cubic root of 2154531960 is about 1291.5691019937.

The spelling of 2154531960 in words is "two billion, one hundred fifty-four million, five hundred thirty-one thousand, nine hundred sixty".