2297800461600 has 1152 divisors, whose sum is σ = 10065555763200. Its totient is φ = 494180352000.

The previous prime is 2297800461563. The next prime is 2297800461653. The reversal of 2297800461600 is 61640087922.

It is a happy number.

2297800461600 is a `hidden beast` number, since 2 + 29 + 7 + 8 + 0 + 0 + 4 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×2297800461600² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 433790152 + ... + 433795448.

It is an arithmetic number, because the mean of its divisors is an integer number (8737461600).

Almost surely, 2^{2297800461600} is an apocalyptic number.

2297800461600 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 2297800461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032777881600).

2297800461600 is an abundant number, since it is smaller than the sum of its proper divisors (7767755301600).

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

2297800461600 is a wasteful number, since it uses less digits than its factorization.

2297800461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2297800461600 in words is "two trillion, two hundred ninety-seven billion, eight hundred million, four hundred sixty-one thousand, six hundred".