2742837720 has 192 divisors, whose sum is σ = 10076140800. Its totient is φ = 593913600.

The previous prime is 2742837683. The next prime is 2742837761. The reversal of 2742837720 is 277382472.

2742837720 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 Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99445 + ... + 123995.

It is an arithmetic number, because the mean of its divisors is an integer number (52479900).

Almost surely, 2^2742837720 is an apocalyptic number.

2742837720 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 2742837720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038070400).

2742837720 is an abundant number, since it is smaller than the sum of its proper divisors (7333303080).

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

2742837720 is a wasteful number, since it uses less digits than its factorization.

2742837720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24598 (or 24587 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 2742837720 is about 52372.1082256577. The cubic root of 2742837720 is about 1399.8023054181.

The spelling of 2742837720 in words is "two billion, seven hundred forty-two million, eight hundred thirty-seven thousand, seven hundred twenty".