1972744848 has 160 divisors (see below), whose sum is σ = 5852958720. Its totient is φ = 635765760.

The previous prime is 1972744817. The next prime is 1972744931. The reversal of 1972744848 is 8484472791.

1972744848 is a `hidden beast` number, since 1 + 97 + 2 + 74 + 484 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1972744794 and 1972744803.

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, 2248986 + ... + 2249862.

It is an arithmetic number, because the mean of its divisors is an integer number (36580992).

Almost surely, 2^1972744848 is an apocalyptic number.

1972744848 is a gapful number since it is divisible by the number (18) 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 1972744848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926479360).

1972744848 is an abundant number, since it is smaller than the sum of its proper divisors (3880213872).

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

1972744848 is a wasteful number, since it uses less digits than its factorization.

1972744848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 1972744848 is about 44415.5923972652. The cubic root of 1972744848 is about 1254.1716300879.

The spelling of 1972744848 in words is "one billion, nine hundred seventy-two million, seven hundred forty-four thousand, eight hundred forty-eight".