2394337616640 has 432 divisors, whose sum is σ = 8351553240576. Its totient is φ = 633316147200.

The previous prime is 2394337616611. The next prime is 2394337616653. The reversal of 2394337616640 is 466167334932.

It is a happy number.

2394337616640 is a `hidden beast` number, since 2 + 3 + 9 + 433 + 7 + 6 + 166 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 873525670 + ... + 873528410.

It is an arithmetic number, because the mean of its divisors is an integer number (19332299168).

Almost surely, 2^{2394337616640} is an apocalyptic number.

2394337616640 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 2394337616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175776620288).

2394337616640 is an abundant number, since it is smaller than the sum of its proper divisors (5957215623936).

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

2394337616640 is a wasteful number, since it uses less digits than its factorization.

2394337616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 2394337616640 in words is "two trillion, three hundred ninety-four billion, three hundred thirty-seven million, six hundred sixteen thousand, six hundred forty".