264750240 has 96 divisors (see below), whose sum is σ = 870258816. Its totient is φ = 67527680.

The previous prime is 264750221. The next prime is 264750247. The reversal of 264750240 is 42057462.

264750240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 264750198 and 264750207.

It is not an unprimeable number, because it can be changed into a prime (264750247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951 + ... + 23030.

It is an arithmetic number, because the mean of its divisors is an integer number (9065196).

Almost surely, 2^264750240 is an apocalyptic number.

264750240 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 264750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435129408).

264750240 is an abundant number, since it is smaller than the sum of its proper divisors (605508576).

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

264750240 is a wasteful number, since it uses less digits than its factorization.

264750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24022 (or 24014 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 264750240 is about 16271.1474702923. The cubic root of 264750240 is about 642.1139732242.

The spelling of 264750240 in words is "two hundred sixty-four million, seven hundred fifty thousand, two hundred forty".