1958054240 has 96 divisors (see below), whose sum is σ = 4856785920. Its totient is φ = 744998400.

The previous prime is 1958054233. The next prime is 1958054257. The reversal of 1958054240 is 424508591.

It is a junction number, because it is equal to n+sod(n) for n = 1958054194 and 1958054203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289295 + ... + 295985.

It is an arithmetic number, because the mean of its divisors is an integer number (50591520).

Almost surely, 2^1958054240 is an apocalyptic number.

1958054240 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 1958054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428392960).

1958054240 is an abundant number, since it is smaller than the sum of its proper divisors (2898731680).

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

1958054240 is a wasteful number, since it uses less digits than its factorization.

1958054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 1958054240 is about 44249.9066665682. The cubic root of 1958054240 is about 1251.0506877967.

The spelling of 1958054240 in words is "one billion, nine hundred fifty-eight million, fifty-four thousand, two hundred forty".