2891552145408 has 480 divisors, whose sum is σ = 9182603109120. Its totient is φ = 896909967360.

The previous prime is 2891552145379. The next prime is 2891552145413. The reversal of 2891552145408 is 8045412551982.

It is a happy number.

2891552145408 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 552 + 1 + 45 + 40 + 8 = 666.

It is a super-2 number, since 2×2891552145408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376451328 + ... + 376459008.

It is an arithmetic number, because the mean of its divisors is an integer number (19130423144).

Almost surely, 2^{2891552145408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2891552145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591301554560).

2891552145408 is an abundant number, since it is smaller than the sum of its proper divisors (6291050963712).

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

2891552145408 is an equidigital number, since it uses as much as digits as its factorization.

2891552145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 2891552145408 in words is "two trillion, eight hundred ninety-one billion, five hundred fifty-two million, one hundred forty-five thousand, four hundred eight".