1948891000 has 64 divisors (see below), whose sum is σ = 5211910080. Its totient is φ = 668188800.

The previous prime is 1948890997. The next prime is 1948891003. The reversal of 1948891000 is 1988491.

It is an interprime number because it is at equal distance from previous prime (1948890997) and next prime (1948891003).

It is a super-2 number, since 2×1948891000² = 7596352259762000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948891003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132207 + ... + 146206.

It is an arithmetic number, because the mean of its divisors is an integer number (81436095).

Almost surely, 2^1948891000 is an apocalyptic number.

1948891000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948891000 is an abundant number, since it is smaller than the sum of its proper divisors (3263019080).

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

1948891000 is a wasteful number, since it uses less digits than its factorization.

1948891000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278441 (or 278427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 1948891000 is about 44146.2455934817. The cubic root of 1948891000 is about 1249.0960931862.

The spelling of 1948891000 in words is "one billion, nine hundred forty-eight million, eight hundred ninety-one thousand".