2742424440 has 256 divisors, whose sum is σ = 9830246400. Its totient is φ = 598800384.

The previous prime is 2742424439. The next prime is 2742424457. The reversal of 2742424440 is 444242472.

2742424440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508534 + ... + 2509626.

It is an arithmetic number, because the mean of its divisors is an integer number (38399400).

Almost surely, 2^2742424440 is an apocalyptic number.

2742424440 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 2742424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915123200).

2742424440 is an abundant number, since it is smaller than the sum of its proper divisors (7087821960).

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

2742424440 is a wasteful number, since it uses less digits than its factorization.

2742424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 33.

The square root of 2742424440 is about 52368.1624653758. The cubic root of 2742424440 is about 1399.7319963181.

The spelling of 2742424440 in words is "two billion, seven hundred forty-two million, four hundred twenty-four thousand, four hundred forty".