2891201040 has 400 divisors, whose sum is σ = 12361375488. Its totient is φ = 609887232.

The previous prime is 2891200981. The next prime is 2891201041. The reversal of 2891201040 is 401021982.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2891200995 and 2891201013.

It is not an unprimeable number, because it can be changed into a prime (2891201041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587229 + ... + 592131.

Almost surely, 2^2891201040 is an apocalyptic number.

2891201040 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 2891201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180687744).

2891201040 is an abundant number, since it is smaller than the sum of its proper divisors (9470174448).

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

2891201040 is a wasteful number, since it uses less digits than its factorization.

2891201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2891201040 is about 53769.8897153416. The cubic root of 2891201040 is about 1424.5994220312.

The spelling of 2891201040 in words is "two billion, eight hundred ninety-one million, two hundred one thousand, forty".