2891460640 has 96 divisors (see below), whose sum is σ = 7547541120. Its totient is φ = 1041199104.

The previous prime is 2891460601. The next prime is 2891460697. The reversal of 2891460640 is 460641982.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2891460593 and 2891460602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39451 + ... + 85669.

It is an arithmetic number, because the mean of its divisors is an integer number (78620220).

Almost surely, 2^2891460640 is an apocalyptic number.

2891460640 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 2891460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773770560).

2891460640 is an abundant number, since it is smaller than the sum of its proper divisors (4656080480).

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

2891460640 is a wasteful number, since it uses less digits than its factorization.

2891460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46274 (or 46266 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2891460640 is about 53772.3036516012. The cubic root of 2891460640 is about 1424.6420588612.

The spelling of 2891460640 in words is "two billion, eight hundred ninety-one million, four hundred sixty thousand, six hundred forty".