2933749942680 has 256 divisors, whose sum is σ = 9829983744000. Its totient is φ = 696099667968.

The previous prime is 2933749942631. The next prime is 2933749942681. The reversal of 2933749942680 is 862499473392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2933749942681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18487032 + ... + 18645048.

It is an arithmetic number, because the mean of its divisors is an integer number (38398374000).

Almost surely, 2^{2933749942680} is an apocalyptic number.

2933749942680 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 2933749942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914991872000).

2933749942680 is an abundant number, since it is smaller than the sum of its proper divisors (6896233801320).

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

2933749942680 is a wasteful number, since it uses less digits than its factorization.

2933749942680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158546 (or 158542 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 2933749942680 in words is "two trillion, nine hundred thirty-three billion, seven hundred forty-nine million, nine hundred forty-two thousand, six hundred eighty".