2996590782240 has 288 divisors, whose sum is σ = 11162962242432. Its totient is φ = 725959680000.

The previous prime is 2996590782209. The next prime is 2996590782253. The reversal of 2996590782240 is 422870956992.

2996590782240 is a `hidden beast` number, since 299 + 6 + 59 + 0 + 78 + 224 + 0 = 666.

2996590782240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 23871640 + ... + 23996840.

It is an arithmetic number, because the mean of its divisors is an integer number (38760285564).

Almost surely, 2^{2996590782240} is an apocalyptic number.

2996590782240 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 2996590782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581481121216).

2996590782240 is an abundant number, since it is smaller than the sum of its proper divisors (8166371460192).

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

2996590782240 is a wasteful number, since it uses less digits than its factorization.

2996590782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126744 (or 126733 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2996590782240 in words is "two trillion, nine hundred ninety-six billion, five hundred ninety million, seven hundred eighty-two thousand, two hundred forty".