1972870290 has 128 divisors (see below), whose sum is σ = 5474304000. Its totient is φ = 504983808.

The previous prime is 1972870283. The next prime is 1972870309. The reversal of 1972870290 is 920782791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1541871 + ... + 1543149.

It is an arithmetic number, because the mean of its divisors is an integer number (42768000).

Almost surely, 2^1972870290 is an apocalyptic number.

1972870290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972870290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737152000).

1972870290 is an abundant number, since it is smaller than the sum of its proper divisors (3501433710).

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

1972870290 is a wasteful number, since it uses less digits than its factorization.

1972870290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1972870290 is about 44417.0045140372. The cubic root of 1972870290 is about 1254.1982127558.

The spelling of 1972870290 in words is "one billion, nine hundred seventy-two million, eight hundred seventy thousand, two hundred ninety".