2761840 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 988416.

The previous prime is 2761831. The next prime is 2761841. The reversal of 2761840 is 481672.

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

It is a junction number, because it is equal to n+sod(n) for n = 2761799 and 2761808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761841) 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, 34921 + ... + 34999.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^2761840 is an apocalyptic number.

2761840 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 2761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2761840 is an abundant number, since it is smaller than the sum of its proper divisors (4380560).

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

2761840 is a wasteful number, since it uses less digits than its factorization.

2761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2761840 is about 1661.8784552427. The cubic root of 2761840 is about 140.3027462082.

It can be divided in two parts, 276 and 1840, that added together give a square (2116 = 46²).

The spelling of 2761840 in words is "two million, seven hundred sixty-one thousand, eight hundred forty".