2002414045632 has 1792 divisors, whose sum is σ = 7908999168000. Its totient is φ = 440158924800.

The previous prime is 2002414045631. The next prime is 2002414045673. The reversal of 2002414045632 is 2365404142002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2002414045593 and 2002414045602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002414045631) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 64594001457 + ... + 64594001487.

It is an arithmetic number, because the mean of its divisors is an integer number (4413504000).

Almost surely, 2^{2002414045632} is an apocalyptic number.

2002414045632 is a gapful number since it is divisible by the number (22) 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 2002414045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954499584000).

2002414045632 is an abundant number, since it is smaller than the sum of its proper divisors (5906585122368).

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

2002414045632 is a wasteful number, since it uses less digits than its factorization.

2002414045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 2002414045632 its reverse (2365404142002), we get a palindrome (4367818187634).

The spelling of 2002414045632 in words is "two trillion, two billion, four hundred fourteen million, forty-five thousand, six hundred thirty-two".