1972742600 has 24 divisors (see below), whose sum is σ = 4586627010. Its totient is φ = 789096960.

The previous prime is 1972742581. The next prime is 1972742617. The reversal of 1972742600 is 62472791.

It can be written as a sum of positive squares in 3 ways, for example, as 1881997924 + 90744676 = 43382^2 + 9526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4931657 + ... + 4932056.

Almost surely, 2^1972742600 is an apocalyptic number.

1972742600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972742600 is an abundant number, since it is smaller than the sum of its proper divisors (2613884410).

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

1972742600 is a wasteful number, since it uses less digits than its factorization.

1972742600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863729 (or 9863720 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 1972742600 is about 44415.5670908298. The cubic root of 1972742600 is about 1254.1711536994.

The spelling of 1972742600 in words is "one billion, nine hundred seventy-two million, seven hundred forty-two thousand, six hundred".