2761248 has 72 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 787584.

The previous prime is 2761229. The next prime is 2761267. The reversal of 2761248 is 8421672.

It is an interprime number because it is at equal distance from previous prime (2761229) and next prime (2761267).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4411 + ... + 4997.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

2^2761248 is an apocalyptic number.

2761248 is a gapful number since it is divisible by the number (28) 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 2761248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

2761248 is an abundant number, since it is smaller than the sum of its proper divisors (5684784).

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

2761248 is a wasteful number, since it uses less digits than its factorization.

2761248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 599 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2761248 is about 1661.7003339953. The cubic root of 2761248 is about 140.2927208674.

The spelling of 2761248 in words is "two million, seven hundred sixty-one thousand, two hundred forty-eight".