2093952478800 has 1920 divisors, whose sum is σ = 9001823846400. Its totient is φ = 403824476160.

The previous prime is 2093952478771. The next prime is 2093952478817. The reversal of 2093952478800 is 88742593902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10629200302 + ... + 10629200498.

It is an arithmetic number, because the mean of its divisors is an integer number (4688449920).

Almost surely, 2^{2093952478800} is an apocalyptic number.

2093952478800 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 2093952478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500911923200).

2093952478800 is an abundant number, since it is smaller than the sum of its proper divisors (6907871367600).

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

2093952478800 is a wasteful number, since it uses less digits than its factorization.

2093952478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

It can be divided in two parts, 2093952 and 478800, that added together give a palindrome (2572752).

The spelling of 2093952478800 in words is "two trillion, ninety-three billion, nine hundred fifty-two million, four hundred seventy-eight thousand, eight hundred".