240013000 has 64 divisors (see below), whose sum is σ = 563986800. Its totient is φ = 95603200.

The previous prime is 240012967. The next prime is 240013013. The reversal of 240013000 is 310042.

240013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16630084 + 223382916 = 4078^2 + 14946^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388692 + ... + 389308.

Almost surely, 2^240013000 is an apocalyptic number.

240013000 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 240013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281993400).

240013000 is an abundant number, since it is smaller than the sum of its proper divisors (323973800).

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

240013000 is a wasteful number, since it uses less digits than its factorization.

240013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 240013000 is about 15492.3529523439. The cubic root of 240013000 is about 621.4577215500.

Adding to 240013000 its reverse (310042), we get a palindrome (240323042).

It can be divided in two parts, 2400 and 13000, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 240013000 in words is "two hundred forty million, thirteen thousand".