2778935040 has 540 divisors, whose sum is σ = 11588118696. Its totient is φ = 634023936.

The previous prime is 2778935017. The next prime is 2778935087. The reversal of 2778935040 is 405398772.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080047 + ... + 5080593.

Almost surely, 2^2778935040 is an apocalyptic number.

2778935040 is a gapful number since it is divisible by the number (20) 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 2778935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794059348).

2778935040 is an abundant number, since it is smaller than the sum of its proper divisors (8809183656).

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

2778935040 is an equidigital number, since it uses as much as digits as its factorization.

2778935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2778935040 is about 52715.6052796513. The cubic root of 2778935040 is about 1405.9162962849.

The spelling of 2778935040 in words is "two billion, seven hundred seventy-eight million, nine hundred thirty-five thousand, forty".