2798042970240 has 1024 divisors, whose sum is σ = 11593042560000. Its totient is φ = 637535453184.

The previous prime is 2798042970227. The next prime is 2798042970263. The reversal of 2798042970240 is 420792408972.

It is a happy number.

2798042970240 is a `hidden beast` number, since 2 + 79 + 80 + 429 + 70 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2708656764 + ... + 2708657796.

It is an arithmetic number, because the mean of its divisors is an integer number (11321330625).

Almost surely, 2^{2798042970240} is an apocalyptic number.

2798042970240 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 2798042970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796521280000).

2798042970240 is an abundant number, since it is smaller than the sum of its proper divisors (8794999589760).

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

2798042970240 is a wasteful number, since it uses less digits than its factorization.

2798042970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2798042970240 in words is "two trillion, seven hundred ninety-eight billion, forty-two million, nine hundred seventy thousand, two hundred forty".