2061755238400 has 576 divisors, whose sum is σ = 6322104734400. Its totient is φ = 655589376000.

The previous prime is 2061755238373. The next prime is 2061755238421. The reversal of 2061755238400 is 48325571602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139102990 + ... + 139117810.

It is an arithmetic number, because the mean of its divisors is an integer number (10975876275).

Almost surely, 2^{2061755238400} is an apocalyptic number.

2061755238400 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 2061755238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161052367200).

2061755238400 is an abundant number, since it is smaller than the sum of its proper divisors (4260349496000).

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

2061755238400 is a wasteful number, since it uses less digits than its factorization.

2061755238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14896 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 2061755238400 in words is "two trillion, sixty-one billion, seven hundred fifty-five million, two hundred thirty-eight thousand, four hundred".