2098372864 has 81 divisors (see below), whose sum is σ = 4884335757. Its totient is φ = 897103872.

The previous prime is 2098372853. The next prime is 2098372877. The reversal of 2098372864 is 4682738902.

The square root of 2098372864 is 45808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1917739264 + 180633600 = 43792^2 + 13440^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5130292 + ... + 5130700.

Almost surely, 2^2098372864 is an apocalyptic number.

2098372864 is the 45808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098372864

2098372864 is an abundant number, since it is smaller than the sum of its proper divisors (2785962893).

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

2098372864 is an frugal number, since it uses more digits than its factorization.

2098372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The cubic root of 2098372864 is about 1280.2483372328.

Multiplying 2098372864 by its sum of digits (49), we get a square (102820270336 = 320656²).

2098372864 divided by its sum of digits (49) gives a square (42823936 = 6544²).

The spelling of 2098372864 in words is "two billion, ninety-eight million, three hundred seventy-two thousand, eight hundred sixty-four".