1956412224 has 448 divisors, whose sum is σ = 6759244800. Its totient is φ = 549421056.

The previous prime is 1956412219. The next prime is 1956412247. The reversal of 1956412224 is 4222146591.

It is a happy number.

1956412224 is a `hidden beast` number, since 1 + 9 + 5 + 641 + 2 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17948682 + ... + 17948790.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^1956412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379622400).

1956412224 is an abundant number, since it is smaller than the sum of its proper divisors (4802832576).

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

1956412224 is a wasteful number, since it uses less digits than its factorization.

1956412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1956412224 is about 44231.3488828907. The cubic root of 1956412224 is about 1250.7008813921.

The spelling of 1956412224 in words is "one billion, nine hundred fifty-six million, four hundred twelve thousand, two hundred twenty-four".