2468100 has 72 divisors (see below), whose sum is σ = 7534240. Its totient is φ = 622080.

The previous prime is 2468099. The next prime is 2468101. The reversal of 2468100 is 18642.

It is an interprime number because it is at equal distance from previous prime (2468099) and next prime (2468101).

It is a super-2 number, since 2×2468100² = 12183035220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2468101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5484 + ... + 5916.

2^2468100 is an apocalyptic number.

2468100 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 2468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767120).

2468100 is an abundant number, since it is smaller than the sum of its proper divisors (5066140).

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

2468100 is a wasteful number, since it uses less digits than its factorization.

2468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2468100 is about 1571.0187777363. The cubic root of 2468100 is about 135.1411418231.

The spelling of 2468100 in words is "two million, four hundred sixty-eight thousand, one hundred".