2896440960 has 384 divisors, whose sum is σ = 11377765440. Its totient is φ = 622755840.

The previous prime is 2896440893. The next prime is 2896440961. The reversal of 2896440960 is 690446982.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2896440961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598455 + ... + 1600265.

Almost surely, 2^2896440960 is an apocalyptic number.

2896440960 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 2896440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688882720).

2896440960 is an abundant number, since it is smaller than the sum of its proper divisors (8481324480).

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

2896440960 is a wasteful number, since it uses less digits than its factorization.

2896440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2896440960 is about 53818.5930696818. The cubic root of 2896440960 is about 1425.4595353876.

The spelling of 2896440960 in words is "two billion, eight hundred ninety-six million, four hundred forty thousand, nine hundred sixty".