2154761268 has 96 divisors (see below), whose sum is σ = 5714903040. Its totient is φ = 625968000.

The previous prime is 2154761263. The next prime is 2154761281. The reversal of 2154761268 is 8621674512.

It is a happy number.

It is a super-2 number, since 2×2154761268² = 9285992244145935648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154761263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443613 + ... + 448443.

It is an arithmetic number, because the mean of its divisors is an integer number (59530240).

Almost surely, 2^2154761268 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 2154761268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857451520).

2154761268 is an abundant number, since it is smaller than the sum of its proper divisors (3560141772).

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

2154761268 is a wasteful number, since it uses less digits than its factorization.

2154761268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4987 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 2154761268 is about 46419.4061573390. The cubic root of 2154761268 is about 1291.6149211672.

The spelling of 2154761268 in words is "two billion, one hundred fifty-four million, seven hundred sixty-one thousand, two hundred sixty-eight".