2891226006240 has 1152 divisors, whose sum is σ = 11278060448256. Its totient is φ = 613560729600.

The previous prime is 2891226006197. The next prime is 2891226006301. The reversal of 2891226006240 is 426006221982.

It is a junction number, because it is equal to n+sod(n) for n = 2891226006192 and 2891226006201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3496040707 + ... + 3496041533.

It is an arithmetic number, because the mean of its divisors is an integer number (9789983028).

Almost surely, 2^{2891226006240} is an apocalyptic number.

2891226006240 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 2891226006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639030224128).

2891226006240 is an abundant number, since it is smaller than the sum of its proper divisors (8386834442016).

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

2891226006240 is a wasteful number, since it uses less digits than its factorization.

2891226006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2891226006240 in words is "two trillion, eight hundred ninety-one billion, two hundred twenty-six million, six thousand, two hundred forty".