2761349472 has 144 divisors (see below), whose sum is σ = 9020793600. Its totient is φ = 784878336.

The previous prime is 2761349453. The next prime is 2761349497. The reversal of 2761349472 is 2749431672.

2761349472 is a `hidden beast` number, since 27 + 613 + 4 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397743 + ... + 404625.

It is an arithmetic number, because the mean of its divisors is an integer number (62644400).

Almost surely, 2^2761349472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2761349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510396800).

2761349472 is an abundant number, since it is smaller than the sum of its proper divisors (6259444128).

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

2761349472 is a wasteful number, since it uses less digits than its factorization.

2761349472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105 (or 7094 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2761349472 is about 52548.5439569928. The cubic root of 2761349472 is about 1402.9443936678.

The spelling of 2761349472 in words is "two billion, seven hundred sixty-one million, three hundred forty-nine thousand, four hundred seventy-two".