2761320 has 32 divisors (see below), whose sum is σ = 8284320. Its totient is φ = 736320.

The previous prime is 2761307. The next prime is 2761333. The reversal of 2761320 is 231672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2761307) and next prime (2761333).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11386 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (258885).

2^2761320 is an apocalyptic number.

2761320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2761320 is an abundant number, since it is smaller than the sum of its proper divisors (5523000).

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

2761320 is a wasteful number, since it uses less digits than its factorization.

2761320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23025 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2761320 is about 1661.7219984101. The cubic root of 2761320 is about 140.2939402422.

Adding to 2761320 its reverse (231672), we get a palindrome (2992992).

It can be divided in two parts, 2761 and 320, that added together give a triangular number (3081 = T₇₈).

The spelling of 2761320 in words is "two million, seven hundred sixty-one thousand, three hundred twenty".