2826157440 has 128 divisors (see below), whose sum is σ = 9037624320. Its totient is φ = 751196160.

The previous prime is 2826157427. The next prime is 2826157447. The reversal of 2826157440 is 447516282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826157447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633297 + ... + 637743.

It is an arithmetic number, because the mean of its divisors is an integer number (70606440).

Almost surely, 2^2826157440 is an apocalyptic number.

2826157440 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 2826157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518812160).

2826157440 is an abundant number, since it is smaller than the sum of its proper divisors (6211466880).

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

2826157440 is a wasteful number, since it uses less digits than its factorization.

2826157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2826157440 is about 53161.6162282525. The cubic root of 2826157440 is about 1413.8351803525.

The spelling of 2826157440 in words is "two billion, eight hundred twenty-six million, one hundred fifty-seven thousand, four hundred forty".