2968500 has 48 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 791200.

The previous prime is 2968487. The next prime is 2968513. The reversal of 2968500 is 58692.

It is an interprime number because it is at equal distance from previous prime (2968487) and next prime (2968513).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

2^2968500 is an apocalyptic number.

2968500 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 2968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2968500 is an abundant number, since it is smaller than the sum of its proper divisors (5680140).

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

2968500 is a wasteful number, since it uses less digits than its factorization.

2968500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2968500 is about 1722.9335448589. The cubic root of 2968500 is about 143.7183925466.

The spelling of 2968500 in words is "two million, nine hundred sixty-eight thousand, five hundred".