2002741493760 has 2304 divisors, whose sum is σ = 9180457574400. Its totient is φ = 403609485312.

The previous prime is 2002741493719. The next prime is 2002741493773. The reversal of 2002741493760 is 673941472002.

2002741493760 is a `hidden beast` number, since 2 + 0 + 0 + 274 + 1 + 4 + 9 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×2002741493760² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54128148462 + ... + 54128148498.

It is an arithmetic number, because the mean of its divisors is an integer number (3984573600).

Almost surely, 2^{2002741493760} is an apocalyptic number.

2002741493760 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 2002741493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590228787200).

2002741493760 is an abundant number, since it is smaller than the sum of its proper divisors (7177716080640).

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

2002741493760 is an equidigital number, since it uses as much as digits as its factorization.

2002741493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2002741493760 in words is "two trillion, two billion, seven hundred forty-one million, four hundred ninety-three thousand, seven hundred sixty".