2538000 has 160 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 662400.

The previous prime is 2537999. The next prime is 2538017. The reversal of 2538000 is 8352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53977 + ... + 54023.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^2538000 is an apocalyptic number.

2538000 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 2538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

2538000 is an abundant number, since it is smaller than the sum of its proper divisors (6747120).

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

2538000 is a wasteful number, since it uses less digits than its factorization.

2538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2538000 is about 1593.1101656822. The cubic root of 2538000 is about 136.4050783133.

It can be divided in two parts, 25 and 38000, that added together give a square (38025 = 195²).

The spelling of 2538000 in words is "two million, five hundred thirty-eight thousand".