2799901505940 has 288 divisors, whose sum is σ = 9951149376000. Its totient is φ = 581656884480.

The previous prime is 2799901505917. The next prime is 2799901505959. The reversal of 2799901505940 is 495051099972.

2799901505940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183004411 + ... + 183019709.

It is an arithmetic number, because the mean of its divisors is an integer number (34552602000).

Almost surely, 2^{2799901505940} is an apocalyptic number.

2799901505940 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 2799901505940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975574688000).

2799901505940 is an abundant number, since it is smaller than the sum of its proper divisors (7151247870060).

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

2799901505940 is a wasteful number, since it uses less digits than its factorization.

2799901505940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20995 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 60.

The spelling of 2799901505940 in words is "two trillion, seven hundred ninety-nine billion, nine hundred one million, five hundred five thousand, nine hundred forty".