2191480643952 has 280 divisors, whose sum is σ = 6482961790080. Its totient is φ = 717116250240.

The previous prime is 2191480643951. The next prime is 2191480643971. The reversal of 2191480643952 is 2593460841912.

It is a happy number.

2191480643952 is a `hidden beast` number, since 2 + 19 + 1 + 480 + 64 + 3 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191480643951) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 624173877 + ... + 624177387.

Almost surely, 2^{2191480643952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191480643952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241480895040).

2191480643952 is an abundant number, since it is smaller than the sum of its proper divisors (4291481146128).

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

2191480643952 is an equidigital number, since it uses as much as digits as its factorization.

2191480643952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2191480643952 in words is "two trillion, one hundred ninety-one billion, four hundred eighty million, six hundred forty-three thousand, nine hundred fifty-two".