2142700322400 has 864 divisors, whose sum is σ = 8565782254848. Its totient is φ = 518354380800.

The previous prime is 2142700322383. The next prime is 2142700322417. The reversal of 2142700322400 is 42230072412.

2142700322400 is a `hidden beast` number, since 214 + 27 + 0 + 0 + 3 + 22 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2142700322383) and next prime (2142700322417).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2142700322400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1567446517 + ... + 1567447883.

It is an arithmetic number, because the mean of its divisors is an integer number (9914099832).

Almost surely, 2^{2142700322400} is an apocalyptic number.

2142700322400 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 2142700322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282891127424).

2142700322400 is an abundant number, since it is smaller than the sum of its proper divisors (6423081932448).

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

2142700322400 is a wasteful number, since it uses less digits than its factorization.

2142700322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 2142700322400 its reverse (42230072412), we get a palindrome (2184930394812).

The spelling of 2142700322400 in words is "two trillion, one hundred forty-two billion, seven hundred million, three hundred twenty-two thousand, four hundred".