2340876440 has 128 divisors (see below), whose sum is σ = 6168389760. Its totient is φ = 782905344.

The previous prime is 2340876431. The next prime is 2340876449. The reversal of 2340876440 is 446780432.

2340876440 = T₃₈₅ + T₃₈₆ + ... + T₂₄₁₅.

It is an interprime number because it is at equal distance from previous prime (2340876431) and next prime (2340876449).

It is a junction number, because it is equal to n+sod(n) for n = 2340876394 and 2340876403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340876449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457382 + ... + 3458058.

It is an arithmetic number, because the mean of its divisors is an integer number (48190545).

Almost surely, 2^2340876440 is an apocalyptic number.

2340876440 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 2340876440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084194880).

2340876440 is an abundant number, since it is smaller than the sum of its proper divisors (3827513320).

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

2340876440 is a wasteful number, since it uses less digits than its factorization.

2340876440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 2340876440 is about 48382.6047252522. The cubic root of 2340876440 is about 1327.7801249055.

The spelling of 2340876440 in words is "two billion, three hundred forty million, eight hundred seventy-six thousand, four hundred forty".