2894952480 has 384 divisors, whose sum is σ = 11083806720. Its totient is φ = 620421120.

The previous prime is 2894952479. The next prime is 2894952481. The reversal of 2894952480 is 842594982.

It is an interprime number because it is at equal distance from previous prime (2894952479) and next prime (2894952481).

It is a super-2 number, since 2×2894952480² = 16761499722916300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2894952481) 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 63 ways as a sum of consecutive naturals, for example, 8745915 + ... + 8746245.

It is an arithmetic number, because the mean of its divisors is an integer number (28864080).

Almost surely, 2^2894952480 is an apocalyptic number.

2894952480 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 2894952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541903360).

2894952480 is an abundant number, since it is smaller than the sum of its proper divisors (8188854240).

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

2894952480 is a wasteful number, since it uses less digits than its factorization.

2894952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 2894952480 is about 53804.7626144749. The cubic root of 2894952480 is about 1425.2153124946.

The spelling of 2894952480 in words is "two billion, eight hundred ninety-four million, nine hundred fifty-two thousand, four hundred eighty".