2734851840 has 288 divisors, whose sum is σ = 10129867776. Its totient is φ = 615874560.

The previous prime is 2734851817. The next prime is 2734851859. The reversal of 2734851840 is 481584372.

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

It is a junction number, because it is equal to n+sod(n) for n = 2734851792 and 2734851801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1907764 + ... + 1909196.

It is an arithmetic number, because the mean of its divisors is an integer number (35173152).

Almost surely, 2^2734851840 is an apocalyptic number.

2734851840 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 2734851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064933888).

2734851840 is an abundant number, since it is smaller than the sum of its proper divisors (7395015936).

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

2734851840 is a wasteful number, since it uses less digits than its factorization.

2734851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2734851840 is about 52295.8109220997. The cubic root of 2734851840 is about 1398.4424583073.

The spelling of 2734851840 in words is "two billion, seven hundred thirty-four million, eight hundred fifty-one thousand, eight hundred forty".