2798533362240 has 1008 divisors, whose sum is σ = 12235295255040. Its totient is φ = 580561551360.

The previous prime is 2798533362221. The next prime is 2798533362293. The reversal of 2798533362240 is 422633358972.

It is a happy number.

2798533362240 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 5 + 3 + 3 + 3 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1339651116 + ... + 1339653204.

Almost surely, 2^{2798533362240} is an apocalyptic number.

2798533362240 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 2798533362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117647627520).

2798533362240 is an abundant number, since it is smaller than the sum of its proper divisors (9436761892800).

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

2798533362240 is a wasteful number, since it uses less digits than its factorization.

2798533362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 2798533362240 in words is "two trillion, seven hundred ninety-eight billion, five hundred thirty-three million, three hundred sixty-two thousand, two hundred forty".