2884120172640 has 432 divisors, whose sum is σ = 12051507751920. Its totient is φ = 624530995200.

The previous prime is 2884120172639. The next prime is 2884120172641. The reversal of 2884120172640 is 462710214882.

2884120172640 is a `hidden beast` number, since 2 + 8 + 8 + 412 + 0 + 172 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2884120172639) and next prime (2884120172641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884120172641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264990 + ... + 2416290.

It is an arithmetic number, because the mean of its divisors is an integer number (27897008685).

Almost surely, 2^{2884120172640} is an apocalyptic number.

2884120172640 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 2884120172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025753875960).

2884120172640 is an abundant number, since it is smaller than the sum of its proper divisors (9167387579280).

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

2884120172640 is a wasteful number, since it uses less digits than its factorization.

2884120172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151355 (or 2151337 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2884120172640 in words is "two trillion, eight hundred eighty-four billion, one hundred twenty million, one hundred seventy-two thousand, six hundred forty".