1972248100 has 27 divisors (see below), whose sum is σ = 4280742291. Its totient is φ = 788721600.

The previous prime is 1972248097. The next prime is 1972248101. The reversal of 1972248100 is 18422791.

The square root of 1972248100 is 44410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 127373796 + 1844874304 = 11286^2 + 42952^2 .

It is a super-2 number, since 2×1972248100² = 7779525135907220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1972248101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 441880 + ... + 446320.

Almost surely, 2^1972248100 is an apocalyptic number.

1972248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1972248100 is the 44410-th square number.

It is an amenable number.

1972248100 is an abundant number, since it is smaller than the sum of its proper divisors (2308494191).

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

1972248100 is an frugal number, since it uses more digits than its factorization.

1972248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The cubic root of 1972248100 is about 1254.0663521467.

The spelling of 1972248100 in words is "one billion, nine hundred seventy-two million, two hundred forty-eight thousand, one hundred".