2896884480 has 288 divisors, whose sum is σ = 10803308544. Its totient is φ = 647774208.

The previous prime is 2896884437. The next prime is 2896884491. The reversal of 2896884480 is 844886982.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2896884480.

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, 1262214 + ... + 1264506.

It is an arithmetic number, because the mean of its divisors is an integer number (37511488).

Almost surely, 2^2896884480 is an apocalyptic number.

2896884480 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 2896884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401654272).

2896884480 is an abundant number, since it is smaller than the sum of its proper divisors (7906424064).

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

2896884480 is a wasteful number, since it uses less digits than its factorization.

2896884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The square root of 2896884480 is about 53822.7134210084. The cubic root of 2896884480 is about 1425.5322899112.

The spelling of 2896884480 in words is "two billion, eight hundred ninety-six million, eight hundred eighty-four thousand, four hundred eighty".