2347782540 has 96 divisors (see below), whose sum is σ = 6737762304. Its totient is φ = 610556160.

The previous prime is 2347782539. The next prime is 2347782559. The reversal of 2347782540 is 452877432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2347782492 and 2347782501.

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, 875682 + ... + 878358.

It is an arithmetic number, because the mean of its divisors is an integer number (70185024).

Almost surely, 2^2347782540 is an apocalyptic number.

2347782540 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 2347782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368881152).

2347782540 is an abundant number, since it is smaller than the sum of its proper divisors (4389979764).

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

2347782540 is a wasteful number, since it uses less digits than its factorization.

2347782540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2347782540 is about 48453.9218226967. The cubic root of 2347782540 is about 1329.0845906589.

The spelling of 2347782540 in words is "two billion, three hundred forty-seven million, seven hundred eighty-two thousand, five hundred forty".