2761440 has 96 divisors (see below), whose sum is σ = 9507456. Its totient is φ = 668160.

The previous prime is 2761439. The next prime is 2761453. The reversal of 2761440 is 441672.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2761440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019 + ... + 5541.

It is an arithmetic number, because the mean of its divisors is an integer number (99036).

2^2761440 is an apocalyptic number.

2761440 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 2761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753728).

2761440 is an abundant number, since it is smaller than the sum of its proper divisors (6746016).

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

2761440 is a wasteful number, since it uses less digits than its factorization.

2761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2761440 is about 1661.7581051405. The cubic root of 2761440 is about 140.2959724863.

The spelling of 2761440 in words is "two million, seven hundred sixty-one thousand, four hundred forty".