2709419040 has 144 divisors (see below), whose sum is σ = 9295243776. Its totient is φ = 718656000.

The previous prime is 2709419039. The next prime is 2709419059. The reversal of 2709419040 is 409149072.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2709418986 and 2709419004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270115 + ... + 279965.

It is an arithmetic number, because the mean of its divisors is an integer number (64550304).

Almost surely, 2^2709419040 is an apocalyptic number.

2709419040 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 2709419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647621888).

2709419040 is an abundant number, since it is smaller than the sum of its proper divisors (6585824736).

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

2709419040 is a wasteful number, since it uses less digits than its factorization.

2709419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10063 (or 10052 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2709419040 is about 52052.0800737108. The cubic root of 2709419040 is about 1394.0940045442.

The spelling of 2709419040 in words is "two billion, seven hundred nine million, four hundred nineteen thousand, forty".