2631960 has 64 divisors (see below), whose sum is σ = 8776800. Its totient is φ = 701568.

The previous prime is 2631949. The next prime is 2631971. The reversal of 2631960 is 691362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2631949) and next prime (2631971).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 2298.

2^2631960 is an apocalyptic number.

2631960 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 2631960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388400).

2631960 is an abundant number, since it is smaller than the sum of its proper divisors (6144840).

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

2631960 is a wasteful number, since it uses less digits than its factorization.

2631960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2631960 is about 1622.3316553652. The cubic root of 2631960 is about 138.0680193982.

The spelling of 2631960 in words is "two million, six hundred thirty-one thousand, nine hundred sixty".