2601040 has 80 divisors (see below), whose sum is σ = 6780816. Its totient is φ = 921600.

The previous prime is 2601029. The next prime is 2601041. The reversal of 2601040 is 401062.

It can be written as a sum of positive squares in 8 ways, for example, as 1468944 + 1132096 = 1212^2 + 1064^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2601040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601041) 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, 42610 + ... + 42670.

2^2601040 is an apocalyptic number.

2601040 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 2601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390408).

2601040 is an abundant number, since it is smaller than the sum of its proper divisors (4179776).

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

2601040 is a wasteful number, since it uses less digits than its factorization.

2601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2601040 is about 1612.7740077271. The cubic root of 2601040 is about 137.5252185150.

It can be divided in two parts, 26010 and 40, that multiplied together give a square (1040400 = 1020²).

The spelling of 2601040 in words is "two million, six hundred one thousand, forty".