2428431880050 has 144 divisors (see below), whose sum is σ = 7168720235040. Its totient is φ = 584475264000.

The previous prime is 2428431880027. The next prime is 2428431880099. The reversal of 2428431880050 is 500881348242.

2428431880050 is a `hidden beast` number, since 2 + 4 + 284 + 318 + 8 + 0 + 0 + 50 = 666.

It is a super-3 number, since 3×2428431880050³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2428431879978 and 2428431880005.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1076671 + ... + 2452770.

It is an arithmetic number, because the mean of its divisors is an integer number (49782779410).

Almost surely, 2^{2428431880050} is an apocalyptic number.

2428431880050 is an abundant number, since it is smaller than the sum of its proper divisors (4740288354990).

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

2428431880050 is a wasteful number, since it uses less digits than its factorization.

2428431880050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529609 (or 3529601 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2428431880050 in words is "two trillion, four hundred twenty-eight billion, four hundred thirty-one million, eight hundred eighty thousand, fifty".