2874233520000 has 1440 divisors, whose sum is σ = 11291916430080. Its totient is φ = 699052032000.

The previous prime is 2874233519977. The next prime is 2874233520001. The reversal of 2874233520000 is 253324782.

2874233520000 is a `hidden beast` number, since 2 + 87 + 42 + 335 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2874233520000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874233520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 22631759937 + ... + 22631760063.

It is an arithmetic number, because the mean of its divisors is an integer number (7841608632).

Almost surely, 2^{2874233520000} is an apocalyptic number.

2874233520000 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 2874233520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645958215040).

2874233520000 is an abundant number, since it is smaller than the sum of its proper divisors (8417682910080).

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

2874233520000 is a wasteful number, since it uses less digits than its factorization.

2874233520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 2874233520000 its reverse (253324782), we get a palindrome (2874486844782).

The spelling of 2874233520000 in words is "two trillion, eight hundred seventy-four billion, two hundred thirty-three million, five hundred twenty thousand".