1900960000 has 135 divisors (see below), whose sum is σ = 4785500181. Its totient is φ = 753408000.

The previous prime is 1900959911. The next prime is 1900960049. The reversal of 1900960000 is 690091.

The square root of 1900960000 is 43600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1104365824 + 796594176 = 33232^2 + 28224^2 .

It is a super-2 number, since 2×1900960000² = 7227297843200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17439946 + ... + 17440054.

Almost surely, 2^1900960000 is an apocalyptic number.

1900960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1900960000 is the 43600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900960000

1900960000 is an abundant number, since it is smaller than the sum of its proper divisors (2884540181).

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

1900960000 is an frugal number, since it uses more digits than its factorization.

1900960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The cubic root of 1900960000 is about 1238.7708944787.

Multiplying 1900960000 by its sum of digits (25), we get a square (47524000000 = 218000²).

1900960000 divided by its sum of digits (25) gives a square (76038400 = 8720²).

The spelling of 1900960000 in words is "one billion, nine hundred million, nine hundred sixty thousand".