2829400 has 96 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 927360.

The previous prime is 2829397. The next prime is 2829403. The reversal of 2829400 is 49282.

It is an interprime number because it is at equal distance from previous prime (2829397) and next prime (2829403).

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 (2829403) 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, 60177 + ... + 60223.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

2^2829400 is an apocalyptic number.

2829400 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 2829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2829400 is an abundant number, since it is smaller than the sum of its proper divisors (5027240).

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

2829400 is a wasteful number, since it uses less digits than its factorization.

2829400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2829400 is about 1682.0820431834. The cubic root of 2829400 is about 141.4375689662.

The spelling of 2829400 in words is "two million, eight hundred twenty-nine thousand, four hundred".