1958380640 has 48 divisors (see below), whose sum is σ = 4663153152. Its totient is φ = 777176064.

The previous prime is 1958380573. The next prime is 1958380663. The reversal of 1958380640 is 460838591.

It is a super-2 number, since 2×1958380640² = 7670509462253619200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1958380591 and 1958380600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27869 + ... + 68508.

It is an arithmetic number, because the mean of its divisors is an integer number (97149024).

Almost surely, 2^1958380640 is an apocalyptic number.

1958380640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1958380640 is an abundant number, since it is smaller than the sum of its proper divisors (2704772512).

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

1958380640 is a wasteful number, since it uses less digits than its factorization.

1958380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96519 (or 96511 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1958380640 is about 44253.5946562536. The cubic root of 1958380640 is about 1251.1201990234.

The spelling of 1958380640 in words is "one billion, nine hundred fifty-eight million, three hundred eighty thousand, six hundred forty".