2896750080 has 320 divisors, whose sum is σ = 11761390080. Its totient is φ = 662003712.

The previous prime is 2896750069. The next prime is 2896750133. The reversal of 2896750080 is 800576982.

2896750080 is a `hidden beast` number, since 2 + 8 + 9 + 67 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2896750080² = 16782322051960012800, which contains 22 as substring.

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

It is a congruent number.

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, 480847 + ... + 486833.

It is an arithmetic number, because the mean of its divisors is an integer number (36754344).

Almost surely, 2^2896750080 is an apocalyptic number.

2896750080 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 2896750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880695040).

2896750080 is an abundant number, since it is smaller than the sum of its proper divisors (8864640000).

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

2896750080 is an equidigital number, since it uses as much as digits as its factorization.

2896750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2896750080 is about 53821.4648630080. The cubic root of 2896750080 is about 1425.5102438701.

The spelling of 2896750080 in words is "two billion, eight hundred ninety-six million, seven hundred fifty thousand, eighty".