2142407321600 has 1296 divisors, whose sum is σ = 6949208972160. Its totient is φ = 652138905600.

The previous prime is 2142407321597. The next prime is 2142407321671. The reversal of 2142407321600 is 61237042412.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13143603119 + ... + 13143603281.

It is an arithmetic number, because the mean of its divisors is an integer number (5362043960).

Almost surely, 2^{2142407321600} is an apocalyptic number.

2142407321600 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 2142407321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474604486080).

2142407321600 is an abundant number, since it is smaller than the sum of its proper divisors (4806801650560).

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

2142407321600 is a wasteful number, since it uses less digits than its factorization.

2142407321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 2142407321600 in words is "two trillion, one hundred forty-two billion, four hundred seven million, three hundred twenty-one thousand, six hundred".