2896987680 has 384 divisors, whose sum is σ = 10890754560. Its totient is φ = 725594112.

The previous prime is 2896987651. The next prime is 2896987771. The reversal of 2896987680 is 867896982.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5948397 + ... + 5948883.

It is an arithmetic number, because the mean of its divisors is an integer number (28361340).

Almost surely, 2^2896987680 is an apocalyptic number.

2896987680 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 2896987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445377280).

2896987680 is an abundant number, since it is smaller than the sum of its proper divisors (7993766880).

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

2896987680 is an equidigital number, since it uses as much as digits as its factorization.

2896987680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 2896987680 is about 53823.6721155292. The cubic root of 2896987680 is about 1425.5492176585.

The spelling of 2896987680 in words is "two billion, eight hundred ninety-six million, nine hundred eighty-seven thousand, six hundred eighty".