2930700003840 has 960 divisors, whose sum is σ = 11881007424000. Its totient is φ = 667361673216.

The previous prime is 2930700003823. The next prime is 2930700003871. The reversal of 2930700003840 is 483000070392.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×2930700003840³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2930700003795 and 2930700003804.

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, 2837075964 + ... + 2837076996.

It is an arithmetic number, because the mean of its divisors is an integer number (12376049400).

Almost surely, 2^{2930700003840} is an apocalyptic number.

2930700003840 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 2930700003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940503712000).

2930700003840 is an abundant number, since it is smaller than the sum of its proper divisors (8950307420160).

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

2930700003840 is a wasteful number, since it uses less digits than its factorization.

2930700003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2930700003840 in words is "two trillion, nine hundred thirty billion, seven hundred million, three thousand, eight hundred forty".