2649400 has 48 divisors (see below), whose sum is σ = 6640200. Its totient is φ = 977280.

The previous prime is 2649397. The next prime is 2649403. The reversal of 2649400 is 49462.

It is an interprime number because it is at equal distance from previous prime (2649397) and next prime (2649403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2091 + ... + 3109.

2^2649400 is an apocalyptic number.

2649400 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 2649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320100).

2649400 is an abundant number, since it is smaller than the sum of its proper divisors (3990800).

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

2649400 is a wasteful number, since it uses less digits than its factorization.

2649400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2649400 is about 1627.6977606423. The cubic root of 2649400 is about 138.3723055950.

The spelling of 2649400 in words is "two million, six hundred forty-nine thousand, four hundred".