1958841900 has 144 divisors (see below), whose sum is σ = 6338795680. Its totient is φ = 518918400.

The previous prime is 1958841883. The next prime is 1958841931. The reversal of 1958841900 is 91488591.

It is a super-2 number, since 2×1958841900² = 7674123178391220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 421590 + ... + 426210.

Almost surely, 2^1958841900 is an apocalyptic number.

1958841900 is a gapful number since it is divisible by the number (10) 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 1958841900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169397840).

1958841900 is an abundant number, since it is smaller than the sum of its proper divisors (4379953780).

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

1958841900 is a wasteful number, since it uses less digits than its factorization.

1958841900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1958841900 is about 44258.8059034584. The cubic root of 1958841900 is about 1251.2184173149.

The spelling of 1958841900 in words is "one billion, nine hundred fifty-eight million, eight hundred forty-one thousand, nine hundred".