1900052016 has 80 divisors (see below), whose sum is σ = 4994680320. Its totient is φ = 622289920.

The previous prime is 1900051981. The next prime is 1900052047. The reversal of 1900052016 is 6102500091.

It is a super-2 number, since 2×1900052016² = 7220395327011328512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222696 + ... + 1224248.

It is an arithmetic number, because the mean of its divisors is an integer number (62433504).

Almost surely, 2^1900052016 is an apocalyptic number.

1900052016 is a gapful number since it is divisible by the number (16) 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 1900052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497340160).

1900052016 is an abundant number, since it is smaller than the sum of its proper divisors (3094628304).

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

1900052016 is a wasteful number, since it uses less digits than its factorization.

1900052016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1900052016 is about 43589.5860957637. The cubic root of 1900052016 is about 1238.5736321688.

The spelling of 1900052016 in words is "one billion, nine hundred million, fifty-two thousand, sixteen".