246242052000 has 2304 divisors, whose sum is σ = 1147281408000. Its totient is φ = 50948352000.

The previous prime is 246242051947. The next prime is 246242052029. The reversal of 246242052000 is 250242642.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3116987961 + ... + 3116988039.

It is an arithmetic number, because the mean of its divisors is an integer number (497952000).

Almost surely, 2^246242052000 is an apocalyptic number.

246242052000 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 246242052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640704000).

246242052000 is an abundant number, since it is smaller than the sum of its proper divisors (901039356000).

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

246242052000 is a wasteful number, since it uses less digits than its factorization.

246242052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 246242052000 its reverse (250242642), we get a palindrome (246492294642).

The spelling of 246242052000 in words is "two hundred forty-six billion, two hundred forty-two million, fifty-two thousand".