1641917952 has 280 divisors, whose sum is σ = 5071878504. Its totient is φ = 530509824.

The previous prime is 1641917947. The next prime is 1641917983. The reversal of 1641917952 is 2597191461.

1641917952 is a `hidden beast` number, since 16 + 419 + 179 + 52 = 666.

It is a super-2 number, since 2×1641917952² = 5391789122199748608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1641917898 and 1641917907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19782103 + ... + 19782185.

Almost surely, 2^1641917952 is an apocalyptic number.

1641917952 is a gapful number since it is divisible by the number (12) 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 1641917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535939252).

1641917952 is an abundant number, since it is smaller than the sum of its proper divisors (3429960552).

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

1641917952 is an frugal number, since it uses more digits than its factorization.

1641917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1641917952 is about 40520.5867677160. The cubic root of 1641917952 is about 1179.7332423906.

The spelling of 1641917952 in words is "one billion, six hundred forty-one million, nine hundred seventeen thousand, nine hundred fifty-two".