2896404480 has 392 divisors, whose sum is σ = 10529091972. Its totient is φ = 764411904.

The previous prime is 2896404463. The next prime is 2896404481. The reversal of 2896404480 is 844046982.

It can be written as a sum of positive squares in 2 ways, for example, as 2869530624 + 26873856 = 53568^2 + 5184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2896404481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859792 + ... + 29859888.

Almost surely, 2^2896404480 is an apocalyptic number.

2896404480 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 2896404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264545986).

2896404480 is an abundant number, since it is smaller than the sum of its proper divisors (7632687492).

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

2896404480 is an frugal number, since it uses more digits than its factorization.

2896404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2896404480 is about 53818.2541522855. The cubic root of 2896404480 is about 1425.4535509187.

The spelling of 2896404480 in words is "two billion, eight hundred ninety-six million, four hundred four thousand, four hundred eighty".