290643301872 has 1600 divisors, whose sum is σ = 1194712104960. Its totient is φ = 65840947200.

The previous prime is 290643301859. The next prime is 290643301903. The reversal of 290643301872 is 278103346092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2288529873 + ... + 2288529999.

Almost surely, 2^290643301872 is an apocalyptic number.

290643301872 is a gapful number since it is divisible by the number (22) 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 290643301872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597356052480).

290643301872 is an abundant number, since it is smaller than the sum of its proper divisors (904068803088).

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

290643301872 is a wasteful number, since it uses less digits than its factorization.

290643301872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 290643301872 in words is "two hundred ninety billion, six hundred forty-three million, three hundred one thousand, eight hundred seventy-two".