2631975 has 24 divisors (see below), whose sum is σ = 4583040. Its totient is φ = 1329120.

The previous prime is 2631973. The next prime is 2631983. The reversal of 2631975 is 5791362.

It is not a de Polignac number, because 2631975 - 2¹ = 2631973 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 6 + 3⁵ + 1 + 9⁶ + 7 + 5⁵ .

2631975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631971) 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, 502 + ... + 2348.

It is an arithmetic number, because the mean of its divisors is an integer number (190960).

2^2631975 is an apocalyptic number.

2631975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2631975 is a deficient number, since it is larger than the sum of its proper divisors (1951065).

2631975 is a wasteful number, since it uses less digits than its factorization.

2631975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1874 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 2631975 is about 1622.3362783344. The cubic root of 2631975 is about 138.0682816889.

The spelling of 2631975 in words is "two million, six hundred thirty-one thousand, nine hundred seventy-five".