2864834138880 has 864 divisors, whose sum is σ = 11885780594688. Its totient is φ = 623274393600.

The previous prime is 2864834138821. The next prime is 2864834138891. The reversal of 2864834138880 is 888314384682.

2864834138880 is a `hidden beast` number, since 2 + 8 + 6 + 483 + 41 + 38 + 8 + 80 = 666.

It is a super-2 number, since 2×2864834138880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152480847 + ... + 152499633.

Almost surely, 2^{2864834138880} is an apocalyptic number.

2864834138880 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 2864834138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942890297344).

2864834138880 is an abundant number, since it is smaller than the sum of its proper divisors (9020946455808).

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

2864834138880 is a wasteful number, since it uses less digits than its factorization.

2864834138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18913 (or 18896 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 2864834138880 in words is "two trillion, eight hundred sixty-four billion, eight hundred thirty-four million, one hundred thirty-eight thousand, eight hundred eighty".