2741796864 has 160 divisors (see below), whose sum is σ = 8199345990. Its totient is φ = 913047552.

The previous prime is 2741796833. The next prime is 2741796877. The reversal of 2741796864 is 4686971472.

It can be written as a sum of positive squares in only one way, i.e., 1625702400 + 1116094464 = 40320^2 + 33408^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2741796864.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2653692 + ... + 2654724.

Almost surely, 2^2741796864 is an apocalyptic number.

2741796864 is a gapful number since it is divisible by the number (24) 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 2741796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099672995).

2741796864 is an abundant number, since it is smaller than the sum of its proper divisors (5457549126).

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

2741796864 is an frugal number, since it uses more digits than its factorization.

2741796864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1038 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2741796864 is about 52362.1701612911. The cubic root of 2741796864 is about 1399.6252166854.

The spelling of 2741796864 in words is "two billion, seven hundred forty-one million, seven hundred ninety-six thousand, eight hundred sixty-four".