2290034397600 has 720 divisors, whose sum is σ = 8516115558720. Its totient is φ = 598722969600.

The previous prime is 2290034397467. The next prime is 2290034397611. The reversal of 2290034397600 is 67934300922.

2290034397600 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 0 + 3 + 4 + 39 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 887953111 + ... + 887955689.

It is an arithmetic number, because the mean of its divisors is an integer number (11827938276).

Almost surely, 2^{2290034397600} is an apocalyptic number.

2290034397600 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 2290034397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258057779360).

2290034397600 is an abundant number, since it is smaller than the sum of its proper divisors (6226081161120).

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

2290034397600 is a wasteful number, since it uses less digits than its factorization.

2290034397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 2290034397600 in words is "two trillion, two hundred ninety billion, thirty-four million, three hundred ninety-seven thousand, six hundred".