290242842240 has 512 divisors, whose sum is σ = 1017471248640. Its totient is φ = 69941329920.

The previous prime is 290242842223. The next prime is 290242842277. The reversal of 290242842240 is 42248242092.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 329446600 + ... + 329447480.

Almost surely, 2^290242842240 is an apocalyptic number.

290242842240 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 290242842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508735624320).

290242842240 is an abundant number, since it is smaller than the sum of its proper divisors (727228406400).

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

290242842240 is a wasteful number, since it uses less digits than its factorization.

290242842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 290242842240 in words is "two hundred ninety billion, two hundred forty-two million, eight hundred forty-two thousand, two hundred forty".