2214542350400 has 42 divisors (see below), whose sum is σ = 5449158274890. Its totient is φ = 885816939520.

The previous prime is 2214542350387. The next prime is 2214542350417. The reversal of 2214542350400 is 40532454122.

It can be written as a sum of positive squares in 3 ways, for example, as 752493791296 + 1462048559104 = 867464^2 + 1209152^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 692042885 + ... + 692046084.

Almost surely, 2^{2214542350400} is an apocalyptic number.

2214542350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214542350400 is an abundant number, since it is smaller than the sum of its proper divisors (3234615924490).

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

2214542350400 is a wasteful number, since it uses less digits than its factorization.

2214542350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384088991 (or 1384088976 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 2214542350400 in words is "two trillion, two hundred fourteen billion, five hundred forty-two million, three hundred fifty thousand, four hundred".