2098560640 has 256 divisors, whose sum is σ = 5970672000. Its totient is φ = 696729600.

The previous prime is 2098560571. The next prime is 2098560679. The reversal of 2098560640 is 460658902.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2098560593 and 2098560602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3878770 + ... + 3879310.

Almost surely, 2^2098560640 is an apocalyptic number.

2098560640 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 2098560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985336000).

2098560640 is an abundant number, since it is smaller than the sum of its proper divisors (3872111360).

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

2098560640 is a wasteful number, since it uses less digits than its factorization.

2098560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2098560640 is about 45810.0495524727. The cubic root of 2098560640 is about 1280.2865243992.

The spelling of 2098560640 in words is "two billion, ninety-eight million, five hundred sixty thousand, six hundred forty".