2934374123520 has 864 divisors, whose sum is σ = 12347572910400. Its totient is φ = 631220207616.

The previous prime is 2934374123519. The next prime is 2934374123539. The reversal of 2934374123520 is 253214734392.

2934374123520 is a `hidden beast` number, since 2 + 9 + 3 + 43 + 74 + 12 + 3 + 520 = 666.

It is a super-2 number, since 2×2934374123520² (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 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 71 ways as a sum of consecutive naturals, for example, 186431811 + ... + 186447549.

It is an arithmetic number, because the mean of its divisors is an integer number (14291172350).

Almost surely, 2^{2934374123520} is an apocalyptic number.

2934374123520 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 2934374123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173786455200).

2934374123520 is an abundant number, since it is smaller than the sum of its proper divisors (9413198786880).

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

2934374123520 is a wasteful number, since it uses less digits than its factorization.

2934374123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2934374123520 in words is "two trillion, nine hundred thirty-four billion, three hundred seventy-four million, one hundred twenty-three thousand, five hundred twenty".