264054540 has 96 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 65453056.

The previous prime is 264054503. The next prime is 264054551. The reversal of 264054540 is 45450462.

It is a super-2 number, since 2×264054540² = 139449600189223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264054498 and 264054507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83101 + ... + 86219.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^264054540 is an apocalyptic number.

264054540 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 264054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

264054540 is an abundant number, since it is smaller than the sum of its proper divisors (528475380).

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

264054540 is a wasteful number, since it uses less digits than its factorization.

264054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 264054540 is about 16249.7550750773. The cubic root of 264054540 is about 641.5510394529.

The spelling of 264054540 in words is "two hundred sixty-four million, fifty-four thousand, five hundred forty".