2934942013440 has 576 divisors, whose sum is σ = 10476382250880. Its totient is φ = 759351214080.

The previous prime is 2934942013429. The next prime is 2934942013469. The reversal of 2934942013440 is 443102494392.

2934942013440 is a `hidden beast` number, since 2 + 9 + 3 + 494 + 20 + 134 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2934942013440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 1469674522 + ... + 1469676518.

It is an arithmetic number, because the mean of its divisors is an integer number (18188163630).

Almost surely, 2^{2934942013440} is an apocalyptic number.

2934942013440 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 2934942013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238191125440).

2934942013440 is an abundant number, since it is smaller than the sum of its proper divisors (7541440237440).

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

2934942013440 is a wasteful number, since it uses less digits than its factorization.

2934942013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2934942013440 in words is "two trillion, nine hundred thirty-four billion, nine hundred forty-two million, thirteen thousand, four hundred forty".