1972887840 has 576 divisors, whose sum is σ = 8717829120. Its totient is φ = 409328640.

The previous prime is 1972887821. The next prime is 1972887869. The reversal of 1972887840 is 487882791.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993431 + ... + 2994089.

It is an arithmetic number, because the mean of its divisors is an integer number (15135120).

Almost surely, 2^1972887840 is an apocalyptic number.

1972887840 is a gapful number since it is divisible by the number (10) 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 1972887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

1972887840 is an abundant number, since it is smaller than the sum of its proper divisors (6744941280).

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

1972887840 is a wasteful number, since it uses less digits than its factorization.

1972887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1972887840 is about 44417.2020730707. The cubic root of 1972887840 is about 1254.2019317219.

The spelling of 1972887840 in words is "one billion, nine hundred seventy-two million, eight hundred eighty-seven thousand, eight hundred forty".