2402011213344 has 384 divisors, whose sum is σ = 7232879404800. Its totient is φ = 784924867584.

The previous prime is 2402011213331. The next prime is 2402011213361. The reversal of 2402011213344 is 4433121102042.

2402011213344 is a `hidden beast` number, since 2 + 4 + 0 + 201 + 121 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073763394 + ... + 1073765630.

It is an arithmetic number, because the mean of its divisors is an integer number (18835623450).

Almost surely, 2^{2402011213344} is an apocalyptic number.

2402011213344 is a gapful number since it is divisible by the number (24) 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 2402011213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616439702400).

2402011213344 is an abundant number, since it is smaller than the sum of its proper divisors (4830868191456).

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

2402011213344 is an equidigital number, since it uses as much as digits as its factorization.

2402011213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2402011213344 its reverse (4433121102042), we get a palindrome (6835132315386).

The spelling of 2402011213344 in words is "two trillion, four hundred two billion, eleven million, two hundred thirteen thousand, three hundred forty-four".