2019780864 has 432 divisors, whose sum is σ = 6664257600. Its totient is φ = 585252864.

The previous prime is 2019780839. The next prime is 2019780877. The reversal of 2019780864 is 4680879102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46971627 + ... + 46971669.

Almost surely, 2^2019780864 is an apocalyptic number.

2019780864 is a gapful number since it is divisible by the number (24) 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 2019780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332128800).

2019780864 is an abundant number, since it is smaller than the sum of its proper divisors (4644476736).

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

2019780864 is a wasteful number, since it uses less digits than its factorization.

2019780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2019780864 is about 44941.9721863649. The cubic root of 2019780864 is about 1264.0611517709.

The spelling of 2019780864 in words is "two billion, nineteen million, seven hundred eighty thousand, eight hundred sixty-four".