2742464 has 28 divisors (see below), whose sum is σ = 5526024. Its totient is φ = 1350144.

The previous prime is 2742463. The next prime is 2742469. The reversal of 2742464 is 4642472.

It is a super-2 number, since 2×2742464² = 15042217582592, which contains 22 as substring.

Its product of digits (10752) is a multiple of the sum of its prime factors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4379 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (197358).

2^2742464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763012).

2742464 is an abundant number, since it is smaller than the sum of its proper divisors (2783560).

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

2742464 is an equidigital number, since it uses as much as digits as its factorization.

2742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its digits is 10752, while the sum is 29.

The square root of 2742464 is about 1656.0386468920. The cubic root of 2742464 is about 139.9738726753.

The spelling of 2742464 in words is "two million, seven hundred forty-two thousand, four hundred sixty-four".