2778431040 has 1008 divisors, whose sum is σ = 12900940416. Its totient is φ = 535265280.

The previous prime is 2778431039. The next prime is 2778431063. The reversal of 2778431040 is 401348772.

It is a happy number.

2778431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2778430986 and 2778431004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41469087 + ... + 41469153.

It is an arithmetic number, because the mean of its divisors is an integer number (12798552).

Almost surely, 2^2778431040 is an apocalyptic number.

2778431040 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 2778431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450470208).

2778431040 is an abundant number, since it is smaller than the sum of its proper divisors (10122509376).

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

2778431040 is a wasteful number, since it uses less digits than its factorization.

2778431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2778431040 is about 52710.8246947437. The cubic root of 2778431040 is about 1405.8312967384.

The spelling of 2778431040 in words is "two billion, seven hundred seventy-eight million, four hundred thirty-one thousand, forty".