240052680 has 256 divisors, whose sum is σ = 925862400. Its totient is φ = 54190080.

The previous prime is 240052667. The next prime is 240052693. The reversal of 240052680 is 86250042.

It is an interprime number because it is at equal distance from previous prime (240052667) and next prime (240052693).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854140 + ... + 854420.

It is an arithmetic number, because the mean of its divisors is an integer number (3616650).

Almost surely, 2^240052680 is an apocalyptic number.

240052680 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 240052680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462931200).

240052680 is an abundant number, since it is smaller than the sum of its proper divisors (685809720).

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

240052680 is a wasteful number, since it uses less digits than its factorization.

240052680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 240052680 is about 15493.6335312282. The cubic root of 240052680 is about 621.4919670334.

The spelling of 240052680 in words is "two hundred forty million, fifty-two thousand, six hundred eighty".