2298542400000 has 1920 divisors, whose sum is σ = 10618060400640. Its totient is φ = 476928000000.

The previous prime is 2298542399971. The next prime is 2298542400019. The reversal of 2298542400000 is 42458922.

2298542400000 is a `hidden beast` number, since 22 + 98 + 542 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3326399655 + ... + 3326400345.

It is an arithmetic number, because the mean of its divisors is an integer number (5530239792).

Almost surely, 2^{2298542400000} is an apocalyptic number.

2298542400000 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 2298542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309030200320).

2298542400000 is an abundant number, since it is smaller than the sum of its proper divisors (8319518000640).

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

2298542400000 is an frugal number, since it uses more digits than its factorization.

2298542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2298542400000 its reverse (42458922), we get a palindrome (2298584858922).

The spelling of 2298542400000 in words is "two trillion, two hundred ninety-eight billion, five hundred forty-two million, four hundred thousand".