1972159840 has 144 divisors (see below), whose sum is σ = 5656083552. Its totient is φ = 646711296.

The previous prime is 1972159837. The next prime is 1972159859. The reversal of 1972159840 is 489512791.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174852 + ... + 185788.

It is an arithmetic number, because the mean of its divisors is an integer number (39278358).

Almost surely, 2^1972159840 is an apocalyptic number.

1972159840 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 1972159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828041776).

1972159840 is an abundant number, since it is smaller than the sum of its proper divisors (3683923712).

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

1972159840 is a wasteful number, since it uses less digits than its factorization.

1972159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The square root of 1972159840 is about 44409.0062937688. The cubic root of 1972159840 is about 1254.0476449757.

The spelling of 1972159840 in words is "one billion, nine hundred seventy-two million, one hundred fifty-nine thousand, eight hundred forty".