2742400 has 48 divisors (see below), whose sum is σ = 6782490. Its totient is φ = 1095680.

The previous prime is 2742371. The next prime is 2742407. The reversal of 2742400 is 42472.

2742400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 2534464 + 207936 = 1592^2 + 456^2 .

It is not an unprimeable number, because it can be changed into a prime (2742407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2772 + ... + 3628.

2^2742400 is an apocalyptic number.

2742400 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 2742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391245).

2742400 is an abundant number, since it is smaller than the sum of its proper divisors (4040090).

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

2742400 is an equidigital number, since it uses as much as digits as its factorization.

2742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2742400 is about 1656.0193235588. The cubic root of 2742400 is about 139.9727838251.

Adding to 2742400 its reverse (42472), we get a palindrome (2784872).

The spelling of 2742400 in words is "two million, seven hundred forty-two thousand, four hundred".