2631000 has 64 divisors (see below), whose sum is σ = 8218080. Its totient is φ = 700800.

The previous prime is 2630989. The next prime is 2631007. The reversal of 2631000 is 1362.

It is a super-2 number, since 2×2631000² = 13844322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631007) 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, 2562 + ... + 3438.

2^2631000 is an apocalyptic number.

2631000 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 2631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109040).

2631000 is an abundant number, since it is smaller than the sum of its proper divisors (5587080).

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

2631000 is a wasteful number, since it uses less digits than its factorization.

2631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2631000 is about 1622.0357579289. The cubic root of 2631000 is about 138.0512307164.

Adding to 2631000 its reverse (1362), we get a palindrome (2632362).

The spelling of 2631000 in words is "two million, six hundred thirty-one thousand".