1948971690 has 96 divisors (see below), whose sum is σ = 5125161600. Its totient is φ = 513836160.

The previous prime is 1948971679. The next prime is 1948971733. The reversal of 1948971690 is 961798491.

1948971690 is a `hidden beast` number, since 1 + 9 + 489 + 71 + 6 + 90 = 666.

It is a super-2 number, since 2×1948971690² = 7596981296842912200, which contains 22 as substring.

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, 5010016 + ... + 5010404.

It is an arithmetic number, because the mean of its divisors is an integer number (53387100).

Almost surely, 2^1948971690 is an apocalyptic number.

1948971690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948971690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562580800).

1948971690 is an abundant number, since it is smaller than the sum of its proper divisors (3176189910).

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

1948971690 is a wasteful number, since it uses less digits than its factorization.

1948971690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 1948971690 is about 44147.1594782722. The cubic root of 1948971690 is about 1249.1133317376.

The spelling of 1948971690 in words is "one billion, nine hundred forty-eight million, nine hundred seventy-one thousand, six hundred ninety".