2002215054400 has 504 divisors, whose sum is σ = 5684765071392. Its totient is φ = 687955968000.

The previous prime is 2002215054391. The next prime is 2002215054409. The reversal of 2002215054400 is 44505122002.

It is an interprime number because it is at equal distance from previous prime (2002215054391) and next prime (2002215054409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2002215054409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 727283424 + ... + 727286176.

Almost surely, 2^{2002215054400} is an apocalyptic number.

2002215054400 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 2002215054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842382535696).

2002215054400 is an abundant number, since it is smaller than the sum of its proper divisors (3682550016992).

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

2002215054400 is a wasteful number, since it uses less digits than its factorization.

2002215054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 2002215054400 in words is "two trillion, two billion, two hundred fifteen million, fifty-four thousand, four hundred".