2627040 has 96 divisors (see below), whose sum is σ = 8932896. Its totient is φ = 645120.

The previous prime is 2627021. The next prime is 2627041. The reversal of 2627040 is 407262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2626998 and 2627016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627041) 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, 6030 + ... + 6450.

It is an arithmetic number, because the mean of its divisors is an integer number (93051).

2^2627040 is an apocalyptic number.

2627040 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 2627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466448).

2627040 is an abundant number, since it is smaller than the sum of its proper divisors (6305856).

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

2627040 is a wasteful number, since it uses less digits than its factorization.

2627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2627040 is about 1620.8146100033. The cubic root of 2627040 is about 137.9819342030.

The spelling of 2627040 in words is "two million, six hundred twenty-seven thousand, forty".