1970182656 has 320 divisors, whose sum is σ = 6622492800. Its totient is φ = 573308928.

The previous prime is 1970182603. The next prime is 1970182663. The reversal of 1970182656 is 6562810791.

It is a congruent number.

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, 3414240 + ... + 3414816.

It is an arithmetic number, because the mean of its divisors is an integer number (20695290).

Almost surely, 2^1970182656 is an apocalyptic number.

1970182656 is a gapful number since it is divisible by the number (16) 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 1970182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311246400).

1970182656 is an abundant number, since it is smaller than the sum of its proper divisors (4652310144).

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

1970182656 is a wasteful number, since it uses less digits than its factorization.

1970182656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1970182656 is about 44386.7396414740. The cubic root of 1970182656 is about 1253.6284240535.

The spelling of 1970182656 in words is "one billion, nine hundred seventy million, one hundred eighty-two thousand, six hundred fifty-six".