2738718540 has 120 divisors (see below), whose sum is σ = 8823856272. Its totient is φ = 710570880.

The previous prime is 2738718523. The next prime is 2738718569. The reversal of 2738718540 is 458178372.

2738718540 is a `hidden beast` number, since 2 + 7 + 38 + 71 + 8 + 540 = 666.

2738718540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37095 + ... + 82785.

Almost surely, 2^2738718540 is an apocalyptic number.

2738718540 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 2738718540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411928136).

2738718540 is an abundant number, since it is smaller than the sum of its proper divisors (6085137732).

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

2738718540 is a wasteful number, since it uses less digits than its factorization.

2738718540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45749 (or 45738 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2738718540 is about 52332.7673642432. The cubic root of 2738718540 is about 1399.1012156310.

The spelling of 2738718540 in words is "two billion, seven hundred thirty-eight million, seven hundred eighteen thousand, five hundred forty".