2761480 has 64 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 998400.

The previous prime is 2761477. The next prime is 2761481. The reversal of 2761480 is 841672.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁵ + 7 + 6⁸ + 1 + 4¹⁰ + 8³ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761481) by changing a digit.

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, 21015 + ... + 21145.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

2^2761480 is an apocalyptic number.

2761480 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 2761480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421440).

2761480 is an abundant number, since it is smaller than the sum of its proper divisors (4081400).

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

2761480 is a wasteful number, since it uses less digits than its factorization.

2761480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

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

The square root of 2761480 is about 1661.7701405429. The cubic root of 2761480 is about 140.2966498879.

The spelling of 2761480 in words is "two million, seven hundred sixty-one thousand, four hundred eighty".