2142866642400 has 1152 divisors, whose sum is σ = 8877031833600. Its totient is φ = 494104320000.

The previous prime is 2142866642351. The next prime is 2142866642443. The reversal of 2142866642400 is 42466682412.

It is a super-2 number, since 2×2142866642400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434567935 + ... + 434572865.

It is an arithmetic number, because the mean of its divisors is an integer number (7705756800).

Almost surely, 2^{2142866642400} is an apocalyptic number.

2142866642400 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 2142866642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438515916800).

2142866642400 is an abundant number, since it is smaller than the sum of its proper divisors (6734165191200).

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

2142866642400 is a wasteful number, since it uses less digits than its factorization.

2142866642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2142866642400 in words is "two trillion, one hundred forty-two billion, eight hundred sixty-six million, six hundred forty-two thousand, four hundred".