240987700800 has 3360 divisors, whose sum is σ = 1229281320960. Its totient is φ = 44789760000.

The previous prime is 240987700763. The next prime is 240987700879. The reversal of 240987700800 is 8007789042.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5877748780 + ... + 5877748820.

It is an arithmetic number, because the mean of its divisors is an integer number (365857536).

Almost surely, 2^240987700800 is an apocalyptic number.

240987700800 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 240987700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614640660480).

240987700800 is an abundant number, since it is smaller than the sum of its proper divisors (988293620160).

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

240987700800 is a wasteful number, since it uses less digits than its factorization.

240987700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 240987700800 in words is "two hundred forty billion, nine hundred eighty-seven million, seven hundred thousand, eight hundred".