2089642720 has 192 divisors, whose sum is σ = 5746712832. Its totient is φ = 709632000.

The previous prime is 2089642717. The next prime is 2089642727. The reversal of 2089642720 is 272469802.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089642727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6312955 + ... + 6313285.

It is an arithmetic number, because the mean of its divisors is an integer number (29930796).

Almost surely, 2^2089642720 is an apocalyptic number.

2089642720 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 2089642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873356416).

2089642720 is an abundant number, since it is smaller than the sum of its proper divisors (3657070112).

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

2089642720 is a wasteful number, since it uses less digits than its factorization.

2089642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2089642720 is about 45712.6100764330. The cubic root of 2089642720 is about 1278.4704059432.

It can be divided in two parts, 2089 and 642720, that added together give a square (644809 = 803²).

The spelling of 2089642720 in words is "two billion, eighty-nine million, six hundred forty-two thousand, seven hundred twenty".