2052142400000 has 480 divisors, whose sum is σ = 6390016262784. Its totient is φ = 639590400000.

The previous prime is 2052142399997. The next prime is 2052142400017. The reversal of 2052142400000 is 42412502.

It is a happy number.

It is a super-2 number, since 2×2052142400000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123191672 + ... + 123208328.

Almost surely, 2^{2052142400000} is an apocalyptic number.

2052142400000 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 2052142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195008131392).

2052142400000 is an abundant number, since it is smaller than the sum of its proper divisors (4337873862784).

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

2052142400000 is an frugal number, since it uses more digits than its factorization.

2052142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16682 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2052142400000 its reverse (42412502), we get a palindrome (2052184812502).

The spelling of 2052142400000 in words is "two trillion, fifty-two billion, one hundred forty-two million, four hundred thousand".