2789426376000 has 896 divisors, whose sum is σ = 11524916183040. Its totient is φ = 654393600000.

The previous prime is 2789426375929. The next prime is 2789426376001. The reversal of 2789426376000 is 6736249872.

2789426376000 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 4 + 26 + 3 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789426376001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73637065 + ... + 73674935.

Almost surely, 2^{2789426376000} is an apocalyptic number.

2789426376000 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 2789426376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762458091520).

2789426376000 is an abundant number, since it is smaller than the sum of its proper divisors (8735489807040).

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

2789426376000 is a wasteful number, since it uses less digits than its factorization.

2789426376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37949 (or 37923 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2789426376000 in words is "two trillion, seven hundred eighty-nine billion, four hundred twenty-six million, three hundred seventy-six thousand".