2818046730240 has 3584 divisors, whose sum is σ = 13588715520000. Its totient is φ = 549357355008.

The previous prime is 2818046730211. The next prime is 2818046730251. The reversal of 2818046730240 is 420376408182.

It is a happy number.

2818046730240 is a `hidden beast` number, since 2 + 8 + 180 + 467 + 3 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 122523770869 + ... + 122523770891.

Almost surely, 2^{2818046730240} is an apocalyptic number.

2818046730240 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 2818046730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794357760000).

2818046730240 is an abundant number, since it is smaller than the sum of its proper divisors (10770668789760).

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

2818046730240 is a wasteful number, since it uses less digits than its factorization.

2818046730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2818046730240 in words is "two trillion, eight hundred eighteen billion, forty-six million, seven hundred thirty thousand, two hundred forty".