2779145040 has 640 divisors, whose sum is σ = 11162714112. Its totient is φ = 557383680.

The previous prime is 2779145021. The next prime is 2779145051. The reversal of 2779145040 is 405419772.

It is a self number, because there is not a number n which added to its sum of digits gives 2779145040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38070444 + ... + 38070516.

Almost surely, 2^2779145040 is an apocalyptic number.

2779145040 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 2779145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581357056).

2779145040 is an abundant number, since it is smaller than the sum of its proper divisors (8383569072).

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

2779145040 is a wasteful number, since it uses less digits than its factorization.

2779145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 2779145040 is about 52717.5970620817. The cubic root of 2779145040 is about 1405.9517097294.

The spelling of 2779145040 in words is "two billion, seven hundred seventy-nine million, one hundred forty-five thousand, forty".