2197966181600 has 72 divisors (see below), whose sum is σ = 6132325662288. Its totient is φ = 753588403200.

The previous prime is 2197966181597. The next prime is 2197966181633. The reversal of 2197966181600 is 61816697912.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196241381 + ... + 196252580.

It is an arithmetic number, because the mean of its divisors is an integer number (85171189754).

Almost surely, 2^{2197966181600} is an apocalyptic number.

2197966181600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2197966181600 is an abundant number, since it is smaller than the sum of its proper divisors (3934359480688).

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

2197966181600 is a wasteful number, since it uses less digits than its factorization.

2197966181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392493988 (or 392493975 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 56.

The spelling of 2197966181600 in words is "two trillion, one hundred ninety-seven billion, nine hundred sixty-six million, one hundred eighty-one thousand, six hundred".