2742138630 has 256 divisors, whose sum is σ = 9341982720. Its totient is φ = 555724800.

The previous prime is 2742138629. The next prime is 2742138643. The reversal of 2742138630 is 368312472.

It is a happy number.

2742138630 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 13 + 8 + 630 = 666.

2742138630 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 super-2 number, since 2×2742138630² = 15038648532276553800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 850782 + ... + 853998.

It is an arithmetic number, because the mean of its divisors is an integer number (36492120).

Almost surely, 2^2742138630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742138630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670991360).

2742138630 is an abundant number, since it is smaller than the sum of its proper divisors (6599844090).

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

2742138630 is a wasteful number, since it uses less digits than its factorization.

2742138630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2742138630 is about 52365.4335416026. The cubic root of 2742138630 is about 1399.6833688707.

The spelling of 2742138630 in words is "two billion, seven hundred forty-two million, one hundred thirty-eight thousand, six hundred thirty".