2034629648640 has 216 divisors, whose sum is σ = 7040693132928. Its totient is φ = 542484172800.

The previous prime is 2034629648629. The next prime is 2034629648647. The reversal of 2034629648640 is 468469264302.

2034629648640 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 629 + 6 + 4 + 8 + 6 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2034629648647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122184315 + ... + 122200965.

Almost surely, 2^{2034629648640} is an apocalyptic number.

2034629648640 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 2034629648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520346566464).

2034629648640 is an abundant number, since it is smaller than the sum of its proper divisors (5006063484288).

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

2034629648640 is a wasteful number, since it uses less digits than its factorization.

2034629648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27285 (or 27268 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2034629648640 in words is "two trillion, thirty-four billion, six hundred twenty-nine million, six hundred forty-eight thousand, six hundred forty".