2934255396240 has 480 divisors, whose sum is σ = 11682955814400. Its totient is φ = 645744476160.

The previous prime is 2934255396229. The next prime is 2934255396301. The reversal of 2934255396240 is 426935524392.

It is a happy number.

2934255396240 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 2 + 5 + 5 + 3 + 9 + 624 + 0 = 666.

It is a super-2 number, since 2×2934255396240² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 52443480 + ... + 52499400.

It is an arithmetic number, because the mean of its divisors is an integer number (24339491280).

Almost surely, 2^{2934255396240} is an apocalyptic number.

2934255396240 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 2934255396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841477907200).

2934255396240 is an abundant number, since it is smaller than the sum of its proper divisors (8748700418160).

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

2934255396240 is a wasteful number, since it uses less digits than its factorization.

2934255396240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56335 (or 56326 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 2934255396240 in words is "two trillion, nine hundred thirty-four billion, two hundred fifty-five million, three hundred ninety-six thousand, two hundred forty".