2768598 has 72 divisors (see below), whose sum is σ = 7238088. Its totient is φ = 762048.

The previous prime is 2768587. The next prime is 2768609. The reversal of 2768598 is 8958672.

It is an interprime number because it is at equal distance from previous prime (2768587) and next prime (2768609).

Its product of digits (241920) is a multiple of the sum of its prime divisors (128).

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 37890 + ... + 37962.

It is an arithmetic number, because the mean of its divisors is an integer number (100529).

2^2768598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619044).

2768598 is an abundant number, since it is smaller than the sum of its proper divisors (4469490).

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

2768598 is a wasteful number, since it uses less digits than its factorization.

2768598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2768598 is about 1663.9104543214. The cubic root of 2768598 is about 140.4170895018.

The spelling of 2768598 in words is "two million, seven hundred sixty-eight thousand, five hundred ninety-eight".