1958219040 has 192 divisors, whose sum is σ = 6652679040. Its totient is φ = 482549760.

The previous prime is 1958219023. The next prime is 1958219051. The reversal of 1958219040 is 409128591.

It is a self number, because there is not a number n which added to its sum of digits gives 1958219040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371302 + ... + 376538.

It is an arithmetic number, because the mean of its divisors is an integer number (34649370).

Almost surely, 2^1958219040 is an apocalyptic number.

1958219040 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 1958219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326339520).

1958219040 is an abundant number, since it is smaller than the sum of its proper divisors (4694460000).

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

1958219040 is a wasteful number, since it uses less digits than its factorization.

1958219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 1958219040 is about 44251.7687782082. The cubic root of 1958219040 is about 1251.0857851168.

The spelling of 1958219040 in words is "one billion, nine hundred fifty-eight million, two hundred nineteen thousand, forty".