2098624 has 42 divisors (see below), whose sum is σ = 4594352. Its totient is φ = 950400.

The previous prime is 2098609. The next prime is 2098639. The reversal of 2098624 is 4268902.

2098624 = 236² + 237² + ... + 268².

It is an interprime number because it is at equal distance from previous prime (2098609) and next prime (2098639).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7609 + ... + 7879.

2^2098624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297176).

2098624 is an abundant number, since it is smaller than the sum of its proper divisors (2495728).

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

2098624 is a wasteful number, since it uses less digits than its factorization.

2098624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2098624 is about 1448.6628317176. The cubic root of 2098624 is about 128.0299409125.

The spelling of 2098624 in words is "two million, ninety-eight thousand, six hundred twenty-four".