1972591488 has 256 divisors, whose sum is σ = 6758438400. Its totient is φ = 554729472.

The previous prime is 1972591487. The next prime is 1972591493. The reversal of 1972591488 is 8841952791.

It is a happy number.

1972591488 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 591 + 48 + 8 = 666.

It is a super-2 number, since 2×1972591488² = 7782234357060108288, which contains 22 as substring.

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).

Its product of digits (1451520) is a multiple of the sum of its prime divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972591487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620256 + ... + 1621472.

It is an arithmetic number, because the mean of its divisors is an integer number (26400150).

Almost surely, 2^1972591488 is an apocalyptic number.

1972591488 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 1972591488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379219200).

1972591488 is an abundant number, since it is smaller than the sum of its proper divisors (4785846912).

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

1972591488 is a wasteful number, since it uses less digits than its factorization.

1972591488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 1972591488 is about 44413.8659429688. The cubic root of 1972591488 is about 1254.1391297293.

The spelling of 1972591488 in words is "one billion, nine hundred seventy-two million, five hundred ninety-one thousand, four hundred eighty-eight".