2894049362880 has 1344 divisors, whose sum is σ = 11927179031040. Its totient is φ = 661920989184.

The previous prime is 2894049362837. The next prime is 2894049362927. The reversal of 2894049362880 is 882639404982.

2894049362880 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 0 + 493 + 62 + 8 + 80 = 666.

It is a super-2 number, since 2×2894049362880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1017954739 + ... + 1017957581.

It is an arithmetic number, because the mean of its divisors is an integer number (8874389160).

Almost surely, 2^{2894049362880} is an apocalyptic number.

2894049362880 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 2894049362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963589515520).

2894049362880 is an abundant number, since it is smaller than the sum of its proper divisors (9033129668160).

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

2894049362880 is a wasteful number, since it uses less digits than its factorization.

2894049362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2894049362880 in words is "two trillion, eight hundred ninety-four billion, forty-nine million, three hundred sixty-two thousand, eight hundred eighty".