2780174040 has 128 divisors (see below), whose sum is σ = 9542776320. Its totient is φ = 634752000.

The previous prime is 2780174021. The next prime is 2780174077. The reversal of 2780174040 is 404710872.

2780174040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2780173992 and 2780174010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217700 + ... + 1219980.

It is an arithmetic number, because the mean of its divisors is an integer number (74552940).

Almost surely, 2^2780174040 is an apocalyptic number.

2780174040 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 2780174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771388160).

2780174040 is an abundant number, since it is smaller than the sum of its proper divisors (6762602280).

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

2780174040 is a wasteful number, since it uses less digits than its factorization.

2780174040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 2780174040 is about 52727.3557083987. The cubic root of 2780174040 is about 1406.1252098253.

The spelling of 2780174040 in words is "two billion, seven hundred eighty million, one hundred seventy-four thousand, forty".