2002167567400 has 864 divisors, whose sum is σ = 6689804325120. Its totient is φ = 550905062400.

The previous prime is 2002167567397. The next prime is 2002167567403. The reversal of 2002167567400 is 47657612002.

It is an interprime number because it is at equal distance from previous prime (2002167567397) and next prime (2002167567403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002167567403) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 354551377 + ... + 354557023.

It is an arithmetic number, because the mean of its divisors is an integer number (7742829080).

Almost surely, 2^{2002167567400} is an apocalyptic number.

2002167567400 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 2002167567400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344902162560).

2002167567400 is an abundant number, since it is smaller than the sum of its proper divisors (4687636757720).

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

2002167567400 is a wasteful number, since it uses less digits than its factorization.

2002167567400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 2002167567400 in words is "two trillion, two billion, one hundred sixty-seven million, five hundred sixty-seven thousand, four hundred".