290672778240 has 1584 divisors, whose sum is σ = 1218770175168. Its totient is φ = 63531122688.

The previous prime is 290672778229. The next prime is 290672778283. The reversal of 290672778240 is 42877276092.

It is a happy number.

290672778240 is a `hidden beast` number, since 290 + 6 + 7 + 277 + 82 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3981818844 + ... + 3981818916.

Almost surely, 2^290672778240 is an apocalyptic number.

290672778240 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 290672778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609385087584).

290672778240 is an abundant number, since it is smaller than the sum of its proper divisors (928097396928).

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

290672778240 is a wasteful number, since it uses less digits than its factorization.

290672778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 290672778240 in words is "two hundred ninety billion, six hundred seventy-two million, seven hundred seventy-eight thousand, two hundred forty".