2801138619740 has 144 divisors (see below), whose sum is σ = 6148944809280. Its totient is φ = 1071662592000.

The previous prime is 2801138619691. The next prime is 2801138619787. The reversal of 2801138619740 is 479168311082.

It is a happy number.

2801138619740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349744856 + ... + 349752864.

It is an arithmetic number, because the mean of its divisors is an integer number (42701005620).

Almost surely, 2^{2801138619740} is an apocalyptic number.

2801138619740 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 2801138619740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074472404640).

2801138619740 is an abundant number, since it is smaller than the sum of its proper divisors (3347806189540).

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

2801138619740 is a wasteful number, since it uses less digits than its factorization.

2801138619740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 2801138619740 in words is "two trillion, eight hundred one billion, one hundred thirty-eight million, six hundred nineteen thousand, seven hundred forty".