2328781140 has 288 divisors, whose sum is σ = 8416961280. Its totient is φ = 510105600.

The previous prime is 2328781127. The next prime is 2328781219. The reversal of 2328781140 is 411878232.

2328781140 = T₁₉₅ + T₁₉₆ + ... + T₂₄₀₈.

It is a super-3 number, since 3×2328781140³ (a number of 29 digits) contains 333 as substring.

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 = 2328781095 and 2328781104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3150891 + ... + 3151629.

It is an arithmetic number, because the mean of its divisors is an integer number (29225560).

Almost surely, 2^2328781140 is an apocalyptic number.

2328781140 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 2328781140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208480640).

2328781140 is an abundant number, since it is smaller than the sum of its proper divisors (6088180140).

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

2328781140 is a wasteful number, since it uses less digits than its factorization.

2328781140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2328781140 is about 48257.4464720213. The cubic root of 2328781140 is about 1325.4892964470.

The spelling of 2328781140 in words is "two billion, three hundred twenty-eight million, seven hundred eighty-one thousand, one hundred forty".