1901968641 has 32 divisors (see below), whose sum is σ = 2842675200. Its totient is φ = 1256808960.

The previous prime is 1901968591. The next prime is 1901968643. The reversal of 1901968641 is 1468691091.

It is not a de Polignac number, because 1901968641 - 2¹¹ = 1901966593 is a prime.

It is a super-2 number, since 2×1901968641² = 7234969422694773762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1901968643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046865 + ... + 2047793.

It is an arithmetic number, because the mean of its divisors is an integer number (88833600).

Almost surely, 2^1901968641 is an apocalyptic number.

It is an amenable number.

1901968641 is a deficient number, since it is larger than the sum of its proper divisors (940706559).

1901968641 is a wasteful number, since it uses less digits than its factorization.

1901968641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1901968641 is about 43611.5654500042. The cubic root of 1901968641 is about 1238.9899511992.

The spelling of 1901968641 in words is "one billion, nine hundred one million, nine hundred sixty-eight thousand, six hundred forty-one".