2826371340 has 192 divisors, whose sum is σ = 9501045120. Its totient is φ = 693411840.

The previous prime is 2826371311. The next prime is 2826371347. The reversal of 2826371340 is 431736282.

It is a happy number.

2826371340 is a `hidden beast` number, since 2 + 8 + 2 + 637 + 13 + 4 + 0 = 666.

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 = 2826371295 and 2826371304.

It is not an unprimeable number, because it can be changed into a prime (2826371347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3207700 + ... + 3208580.

It is an arithmetic number, because the mean of its divisors is an integer number (49484610).

Almost surely, 2^2826371340 is an apocalyptic number.

2826371340 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 2826371340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750522560).

2826371340 is an abundant number, since it is smaller than the sum of its proper divisors (6674673780).

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

2826371340 is a wasteful number, since it uses less digits than its factorization.

2826371340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2826371340 is about 53163.6279800391. The cubic root of 2826371340 is about 1413.8708485371.

The spelling of 2826371340 in words is "two billion, eight hundred twenty-six million, three hundred seventy-one thousand, three hundred forty".