2029405347840 has 896 divisors, whose sum is σ = 7305293463552. Its totient is φ = 477663068160.

The previous prime is 2029405347821. The next prime is 2029405347841. The reversal of 2029405347840 is 487435049202.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2029405347840.

It is not an unprimeable number, because it can be changed into a prime (2029405347841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5298708289 + ... + 5298708671.

It is an arithmetic number, because the mean of its divisors is an integer number (8153229312).

Almost surely, 2^{2029405347840} is an apocalyptic number.

2029405347840 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 2029405347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652646731776).

2029405347840 is an abundant number, since it is smaller than the sum of its proper divisors (5275888115712).

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

2029405347840 is a wasteful number, since it uses less digits than its factorization.

2029405347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2029405347840 in words is "two trillion, twenty-nine billion, four hundred five million, three hundred forty-seven thousand, eight hundred forty".