2290208256000 has 2600 divisors, whose sum is σ = 10393725554784. Its totient is φ = 500716339200.

The previous prime is 2290208255969. The next prime is 2290208256109. The reversal of 2290208256000 is 6528020922.

2290208256000 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 20 + 8 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 99574271989 + ... + 99574272011.

Almost surely, 2^{2290208256000} is an apocalyptic number.

2290208256000 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 2290208256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196862777392).

2290208256000 is an abundant number, since it is smaller than the sum of its proper divisors (8103517298784).

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

2290208256000 is an frugal number, since it uses more digits than its factorization.

2290208256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2290208256000 in words is "two trillion, two hundred ninety billion, two hundred eight million, two hundred fifty-six thousand".