2542000 has 80 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 960000.

The previous prime is 2541997. The next prime is 2542009. The reversal of 2542000 is 2452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61980 + ... + 62020.

2^2542000 is an apocalyptic number.

2542000 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 2542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2542000 is an abundant number, since it is smaller than the sum of its proper divisors (3957584).

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

2542000 is a wasteful number, since it uses less digits than its factorization.

2542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2542000 is about 1594.3650773897. The cubic root of 2542000 is about 136.4767008407.

Adding to 2542000 its reverse (2452), we get a palindrome (2544452).

It can be divided in two parts, 25 and 42000, that added together give a square (42025 = 205²).

The spelling of 2542000 in words is "two million, five hundred forty-two thousand".