2009748972 has 96 divisors (see below), whose sum is σ = 6035226624. Its totient is φ = 505166400.

The previous prime is 2009748967. The next prime is 2009748973. The reversal of 2009748972 is 2798479002.

It is not an unprimeable number, because it can be changed into a prime (2009748973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6438 + ... + 63725.

It is an arithmetic number, because the mean of its divisors is an integer number (62866944).

Almost surely, 2^2009748972 is an apocalyptic number.

2009748972 is a gapful number since it is divisible by the number (22) 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 2009748972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017613312).

2009748972 is an abundant number, since it is smaller than the sum of its proper divisors (4025477652).

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

2009748972 is a wasteful number, since it uses less digits than its factorization.

2009748972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70219 (or 70217 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2009748972 is about 44830.2238673866. The cubic root of 2009748972 is about 1261.9648884355.

The spelling of 2009748972 in words is "two billion, nine million, seven hundred forty-eight thousand, nine hundred seventy-two".