2884025010240 has 1176 divisors, whose sum is σ = 11463487668864. Its totient is φ = 690172876800.

The previous prime is 2884025010193. The next prime is 2884025010241. The reversal of 2884025010240 is 420105204882.

2884025010240 is a `hidden beast` number, since 2 + 8 + 8 + 402 + 5 + 0 + 1 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2884025010195 and 2884025010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884025010241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2342830425 + ... + 2342831655.

It is an arithmetic number, because the mean of its divisors is an integer number (9747863664).

Almost surely, 2^{2884025010240} is an apocalyptic number.

2884025010240 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 2884025010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731743834432).

2884025010240 is an abundant number, since it is smaller than the sum of its proper divisors (8579462658624).

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

2884025010240 is a wasteful number, since it uses less digits than its factorization.

2884025010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 2884025010240 in words is "two trillion, eight hundred eighty-four billion, twenty-five million, ten thousand, two hundred forty".