2761220 has 72 divisors (see below), whose sum is σ = 7328832. Its totient is φ = 855360.

The previous prime is 2761217. The next prime is 2761223. The reversal of 2761220 is 221672.

2761220 = T₂₄ + T₂₅ + ... + T₂₅₄.

2761220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2761217) and next prime (2761223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2761192 and 2761201.

It is not an unprimeable number, because it can be changed into a prime (2761223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16859 + ... + 17021.

2^2761220 is an apocalyptic number.

2761220 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 2761220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664416).

2761220 is an abundant number, since it is smaller than the sum of its proper divisors (4567612).

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

2761220 is a wasteful number, since it uses less digits than its factorization.

2761220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2761220 is about 1661.6919088688. The cubic root of 2761220 is about 140.2922466604.

Adding to 2761220 its reverse (221672), we get a palindrome (2982892).

The spelling of 2761220 in words is "two million, seven hundred sixty-one thousand, two hundred twenty".