1954832080 has 20 divisors (see below), whose sum is σ = 4544984772. Its totient is φ = 781932800.

The previous prime is 1954832059. The next prime is 1954832083. The reversal of 1954832080 is 802384591.

It can be written as a sum of positive squares in 2 ways, for example, as 1421591616 + 533240464 = 37704^2 + 23092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 (1954832083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12217621 + ... + 12217780.

Almost surely, 2^1954832080 is an apocalyptic number.

1954832080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1954832080 is an abundant number, since it is smaller than the sum of its proper divisors (2590152692).

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

1954832080 is a wasteful number, since it uses less digits than its factorization.

1954832080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435414 (or 24435408 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1954832080 is about 44213.4830114073. The cubic root of 1954832080 is about 1250.3640710182.

The spelling of 1954832080 in words is "one billion, nine hundred fifty-four million, eight hundred thirty-two thousand, eighty".