2780241984 has 147 divisors (see below), whose sum is σ = 8633149993. Its totient is φ = 855459072.

The previous prime is 2780241973. The next prime is 2780242009. The reversal of 2780241984 is 4891420872.

The square root of 2780241984 is 52728.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2385345600 + 394896384 = 48840^2 + 19872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 213864762 + ... + 213864774.

Almost surely, 2^2780241984 is an apocalyptic number.

2780241984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2780241984 is the 52728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780241984

2780241984 is an abundant number, since it is smaller than the sum of its proper divisors (5852908009).

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

2780241984 is an frugal number, since it uses more digits than its factorization.

2780241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The cubic root of 2780241984 is about 1406.1366643831.

The spelling of 2780241984 in words is "two billion, seven hundred eighty million, two hundred forty-one thousand, nine hundred eighty-four".