2894952960 has 400 divisors, whose sum is σ = 10837449216. Its totient is φ = 737206272.

The previous prime is 2894952959. The next prime is 2894952961. The reversal of 2894952960 is 692594982.

It is a happy number.

2894952960 is a `hidden beast` number, since 28 + 94 + 9 + 529 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2894952959) and next prime (2894952961).

It is a super-2 number, since 2×2894952960² = 16761505281225523200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2894952897 and 2894952906.

It is not an unprimeable number, because it can be changed into a prime (2894952961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768977 + ... + 4769583.

Almost surely, 2^2894952960 is an apocalyptic number.

2894952960 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 2894952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418724608).

2894952960 is an abundant number, since it is smaller than the sum of its proper divisors (7942496256).

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

2894952960 is an equidigital number, since it uses as much as digits as its factorization.

2894952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2894952960 is about 53804.7670750464. The cubic root of 2894952960 is about 1425.2153912643.

The spelling of 2894952960 in words is "two billion, eight hundred ninety-four million, nine hundred fifty-two thousand, nine hundred sixty".