2188784640 has 176 divisors, whose sum is σ = 8001182592. Its totient is φ = 500269056.

The previous prime is 2188784639. The next prime is 2188784669. The reversal of 2188784640 is 464878812.

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 2188784640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97342 + ... + 117698.

Almost surely, 2^2188784640 is an apocalyptic number.

2188784640 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 2188784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000591296).

2188784640 is an abundant number, since it is smaller than the sum of its proper divisors (5812397952).

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

2188784640 is a wasteful number, since it uses less digits than its factorization.

2188784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20392 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 2188784640 is about 46784.4486982587. The cubic root of 2188784640 is about 1298.3775894731.

The spelling of 2188784640 in words is "two billion, one hundred eighty-eight million, seven hundred eighty-four thousand, six hundred forty".