2749920 has 96 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 688128.

The previous prime is 2749919. The next prime is 2749921. The reversal of 2749920 is 299472.

It is an interprime number because it is at equal distance from previous prime (2749919) and next prime (2749921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749921) 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, 7992 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (95823).

2^2749920 is an apocalyptic number.

2749920 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 2749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

2749920 is an abundant number, since it is smaller than the sum of its proper divisors (6449088).

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

2749920 is a wasteful number, since it uses less digits than its factorization.

2749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2749920 is about 1658.2882740947. The cubic root of 2749920 is about 140.1006079551.

The spelling of 2749920 in words is "two million, seven hundred forty-nine thousand, nine hundred twenty".