1956558240 has 864 divisors, whose sum is σ = 8783873280. Its totient is φ = 407586816.

The previous prime is 1956558223. The next prime is 1956558251. The reversal of 1956558240 is 428556591.

1956558240 is a `hidden beast` number, since 1 + 9 + 5 + 65 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766521 + ... + 24766599.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^1956558240 is an apocalyptic number.

1956558240 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 1956558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391936640).

1956558240 is an abundant number, since it is smaller than the sum of its proper divisors (6827315040).

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

1956558240 is a wasteful number, since it uses less digits than its factorization.

1956558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1956558240 is about 44232.9994461149. Note that the first 3 decimals coincide. The cubic root of 1956558240 is about 1250.7319957954.

The spelling of 1956558240 in words is "one billion, nine hundred fifty-six million, five hundred fifty-eight thousand, two hundred forty".