2214455100000 has 1152 divisors, whose sum is σ = 8751084894720. Its totient is φ = 483072000000.

The previous prime is 2214455099993. The next prime is 2214455100007. The reversal of 2214455100000 is 15544122.

It is an interprime number because it is at equal distance from previous prime (2214455099993) and next prime (2214455100007).

It is a super-2 number, since 2×2214455100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214455100007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1758899371 + ... + 1758900629.

It is an arithmetic number, because the mean of its divisors is an integer number (7596427860).

Almost surely, 2^{2214455100000} is an apocalyptic number.

2214455100000 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 2214455100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375542447360).

2214455100000 is an abundant number, since it is smaller than the sum of its proper divisors (6536629794720).

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

2214455100000 is a wasteful number, since it uses less digits than its factorization.

2214455100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 2214455100000 in words is "two trillion, two hundred fourteen billion, four hundred fifty-five million, one hundred thousand".