2191962687552 has 504 divisors, whose sum is σ = 7145265953280. Its totient is φ = 641314713600.

The previous prime is 2191962687487. The next prime is 2191962687589. The reversal of 2191962687552 is 2557862691912.

2191962687552 is a `hidden beast` number, since 2 + 1 + 9 + 19 + 6 + 2 + 68 + 7 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2191962687552.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1229366853 + ... + 1229368635.

Almost surely, 2^{2191962687552} is an apocalyptic number.

2191962687552 is a gapful number since it is divisible by the number (22) 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 2191962687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572632976640).

2191962687552 is an abundant number, since it is smaller than the sum of its proper divisors (4953303265728).

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

2191962687552 is a wasteful number, since it uses less digits than its factorization.

2191962687552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2399 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 2191962687552 in words is "two trillion, one hundred ninety-one billion, nine hundred sixty-two million, six hundred eighty-seven thousand, five hundred fifty-two".