2098006416 has 135 divisors (see below), whose sum is σ = 6472454443. Its totient is φ = 633927360.

The previous prime is 2098006409. The next prime is 2098006439. The reversal of 2098006416 is 6146008902.

The square root of 2098006416 is 45804.

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

2098006416 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 0 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6045955 + ... + 6046301.

Almost surely, 2^2098006416 is an apocalyptic number.

2098006416 is the 45804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098006416

2098006416 is an abundant number, since it is smaller than the sum of its proper divisors (4374448027).

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

2098006416 is a wasteful number, since it uses less digits than its factorization.

2098006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 2098006416 is about 1280.1738077782.

Multiplying 2098006416 by its sum of digits (36), we get a square (75528230976 = 274824²).

2098006416 divided by its sum of digits (36) gives a square (58277956 = 7634²).

Multiplying 2098006416 by its product of nonzero digits (20736), we get a square (43504261042176 = 6595776²).

The spelling of 2098006416 in words is "two billion, ninety-eight million, six thousand, four hundred sixteen".