1972267488 has 192 divisors, whose sum is σ = 6090336000. Its totient is φ = 619218432.

The previous prime is 1972267483. The next prime is 1972267489. The reversal of 1972267488 is 8847622791.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972267483) 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, 5203683 + ... + 5204061.

It is an arithmetic number, because the mean of its divisors is an integer number (31720500).

Almost surely, 2^1972267488 is an apocalyptic number.

1972267488 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 1972267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045168000).

1972267488 is an abundant number, since it is smaller than the sum of its proper divisors (4118068512).

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

1972267488 is a wasteful number, since it uses less digits than its factorization.

1972267488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1972267488 is about 44410.2182836338. The cubic root of 1972267488 is about 1254.0704614605.

The spelling of 1972267488 in words is "one billion, nine hundred seventy-two million, two hundred sixty-seven thousand, four hundred eighty-eight".