1972774656 has 288 divisors, whose sum is σ = 6275243520. Its totient is φ = 609140736.

The previous prime is 1972774637. The next prime is 1972774669. The reversal of 1972774656 is 6564772791.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4445280) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12102831 + ... + 12102993.

It is an arithmetic number, because the mean of its divisors is an integer number (21789040).

Almost surely, 2^1972774656 is an apocalyptic number.

1972774656 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 1972774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137621760).

1972774656 is an abundant number, since it is smaller than the sum of its proper divisors (4302468864).

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

1972774656 is a wasteful number, since it uses less digits than its factorization.

1972774656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 1972774656 is about 44415.9279538321. The cubic root of 1972774656 is about 1254.1779468636.

The spelling of 1972774656 in words is "one billion, nine hundred seventy-two million, seven hundred seventy-four thousand, six hundred fifty-six".