2089376640 has 512 divisors, whose sum is σ = 8143027200. Its totient is φ = 503193600.

The previous prime is 2089376633. The next prime is 2089376651. The reversal of 2089376640 is 466739802.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15949375 + ... + 15949505.

It is an arithmetic number, because the mean of its divisors is an integer number (15904350).

Almost surely, 2^2089376640 is an apocalyptic number.

2089376640 is a gapful number since it is divisible by the number (20) 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 2089376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071513600).

2089376640 is an abundant number, since it is smaller than the sum of its proper divisors (6053650560).

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

2089376640 is a wasteful number, since it uses less digits than its factorization.

2089376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2089376640 is about 45709.6996271032. The cubic root of 2089376640 is about 1278.4161399130.

The spelling of 2089376640 in words is "two billion, eighty-nine million, three hundred seventy-six thousand, six hundred forty".