1972815600 has 480 divisors, whose sum is σ = 7793786880. Its totient is φ = 416517120.

The previous prime is 1972815557. The next prime is 1972815623. The reversal of 1972815600 is 65182791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7501069 + ... + 7501331.

It is an arithmetic number, because the mean of its divisors is an integer number (16237056).

Almost surely, 2^1972815600 is an apocalyptic number.

1972815600 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 1972815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896893440).

1972815600 is an abundant number, since it is smaller than the sum of its proper divisors (5820971280).

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

1972815600 is a wasteful number, since it uses less digits than its factorization.

1972815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 1972815600 is about 44416.3888671738. The cubic root of 1972815600 is about 1254.1866234259.

The spelling of 1972815600 in words is "one billion, nine hundred seventy-two million, eight hundred fifteen thousand, six hundred".