2894654880 has 672 divisors, whose sum is σ = 11660858496. Its totient is φ = 673339392.

The previous prime is 2894654863. The next prime is 2894654887. The reversal of 2894654880 is 884564982.

2894654880 is a `hidden beast` number, since 2 + 8 + 94 + 6 + 548 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2894654887) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34875319 + ... + 34875401.

It is an arithmetic number, because the mean of its divisors is an integer number (17352468).

Almost surely, 2^2894654880 is an apocalyptic number.

2894654880 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 2894654880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830429248).

2894654880 is an abundant number, since it is smaller than the sum of its proper divisors (8766203616).

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

2894654880 is a wasteful number, since it uses less digits than its factorization.

2894654880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2894654880 is about 53801.9969889594. The cubic root of 2894654880 is about 1425.1664736260.

The spelling of 2894654880 in words is "two billion, eight hundred ninety-four million, six hundred fifty-four thousand, eight hundred eighty".