2778541824 has 72 divisors (see below), whose sum is σ = 7408657872. Its totient is φ = 924467200.

The previous prime is 2778541771. The next prime is 2778541837. The reversal of 2778541824 is 4281458772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452374 + ... + 458474.

It is an arithmetic number, because the mean of its divisors is an integer number (102898026).

Almost surely, 2^2778541824 is an apocalyptic number.

2778541824 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 2778541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704328936).

2778541824 is an abundant number, since it is smaller than the sum of its proper divisors (4630116048).

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

2778541824 is an equidigital number, since it uses as much as digits as its factorization.

2778541824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6699 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 48.

The square root of 2778541824 is about 52711.8755500124. The cubic root of 2778541824 is about 1405.8499813296.

The spelling of 2778541824 in words is "two billion, seven hundred seventy-eight million, five hundred forty-one thousand, eight hundred twenty-four".