290242068480 has 1536 divisors, whose sum is σ = 1305331372800. Its totient is φ = 60643344384.

The previous prime is 290242068463. The next prime is 290242068499. The reversal of 290242068480 is 84860242092.

290242068480 is a `hidden beast` number, since 2 + 90 + 2 + 4 + 20 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2817884109 + ... + 2817884211.

Almost surely, 2^290242068480 is an apocalyptic number.

290242068480 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 290242068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652665686400).

290242068480 is an abundant number, since it is smaller than the sum of its proper divisors (1015089304320).

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

290242068480 is a wasteful number, since it uses less digits than its factorization.

290242068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 290242068480 in words is "two hundred ninety billion, two hundred forty-two million, sixty-eight thousand, four hundred eighty".