240269964000 has 768 divisors, whose sum is σ = 899951689728. Its totient is φ = 55507200000.

The previous prime is 240269963993. The next prime is 240269964043. The reversal of 240269964000 is 469962042.

It is a super-2 number, since 2×240269964000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290531587 + ... + 290532413.

It is an arithmetic number, because the mean of its divisors is an integer number (1171812096).

Almost surely, 2^240269964000 is an apocalyptic number.

240269964000 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 240269964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449975844864).

240269964000 is an abundant number, since it is smaller than the sum of its proper divisors (659681725728).

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

240269964000 is a wasteful number, since it uses less digits than its factorization.

240269964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 240269964000 in words is "two hundred forty billion, two hundred sixty-nine million, nine hundred sixty-four thousand".