2192888640 has 112 divisors (see below), whose sum is σ = 6988942080. Its totient is φ = 582543360.

The previous prime is 2192888617. The next prime is 2192888641. The reversal of 2192888640 is 468882912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2192888640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192888641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255946 + ... + 264374.

Almost surely, 2^2192888640 is an apocalyptic number.

2192888640 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 2192888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494471040).

2192888640 is an abundant number, since it is smaller than the sum of its proper divisors (4796053440).

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

2192888640 is a wasteful number, since it uses less digits than its factorization.

2192888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 2192888640 is about 46828.2888860996. The cubic root of 2192888640 is about 1299.1885745030.

The spelling of 2192888640 in words is "two billion, one hundred ninety-two million, eight hundred eighty-eight thousand, six hundred forty".