2738219584 has 63 divisors (see below), whose sum is σ = 5641323363. Its totient is φ = 1318665600.

The previous prime is 2738219581. The next prime is 2738219591. The reversal of 2738219584 is 4859128372.

The square root of 2738219584 is 52328.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2738219584² = 14995692980402266112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2738219581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12977239 + ... + 12977449.

Almost surely, 2^2738219584 is an apocalyptic number.

2738219584 is the 52328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738219584

2738219584 is an abundant number, since it is smaller than the sum of its proper divisors (2903103779).

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

2738219584 is an frugal number, since it uses more digits than its factorization.

2738219584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 244 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The cubic root of 2738219584 is about 1399.0162449492.

Multiplying 2738219584 by its sum of digits (49), we get a square (134172759616 = 366296²).

The spelling of 2738219584 in words is "two billion, seven hundred thirty-eight million, two hundred nineteen thousand, five hundred eighty-four".