2010192956400 has 240 divisors, whose sum is σ = 6492102693120. Its totient is φ = 531661977600.

The previous prime is 2010192956399. The next prime is 2010192956423. The reversal of 2010192956400 is 46592910102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 559473004 + ... + 559476596.

It is an arithmetic number, because the mean of its divisors is an integer number (27050427888).

Almost surely, 2^{2010192956400} is an apocalyptic number.

2010192956400 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 2010192956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246051346560).

2010192956400 is an abundant number, since it is smaller than the sum of its proper divisors (4481909736720).

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

2010192956400 is a wasteful number, since it uses less digits than its factorization.

2010192956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 2010192956400 in words is "two trillion, ten billion, one hundred ninety-two million, nine hundred fifty-six thousand, four hundred".