2235741696000 has 416 divisors, whose sum is σ = 8266317883200. Its totient is φ = 596194099200.

The previous prime is 2235741695969. The next prime is 2235741696011. The reversal of 2235741696000 is 6961475322.

2235741696000 is a `hidden beast` number, since 2 + 2 + 3 + 574 + 16 + 9 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13743136 + ... + 13904864.

It is an arithmetic number, because the mean of its divisors is an integer number (19870956450).

Almost surely, 2^{2235741696000} is an apocalyptic number.

2235741696000 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 2235741696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133158941600).

2235741696000 is an abundant number, since it is smaller than the sum of its proper divisors (6030576187200).

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

2235741696000 is an equidigital number, since it uses as much as digits as its factorization.

2235741696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161777 (or 161739 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2235741696000 in words is "two trillion, two hundred thirty-five billion, seven hundred forty-one million, six hundred ninety-six thousand".