2045425200000 has 768 divisors, whose sum is σ = 8358620014080. Its totient is φ = 431539200000.

The previous prime is 2045425199999. The next prime is 2045425200019. The reversal of 2045425200000 is 25245402.

It is a happy number.

It is a super-3 number, since 3×2045425200000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109190635 + ... + 109209365.

It is an arithmetic number, because the mean of its divisors is an integer number (10883619810).

Almost surely, 2^{2045425200000} is an apocalyptic number.

2045425200000 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 2045425200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179310007040).

2045425200000 is an abundant number, since it is smaller than the sum of its proper divisors (6313194814080).

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

2045425200000 is an equidigital number, since it uses as much as digits as its factorization.

2045425200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18793 (or 18761 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 2045425200000 in words is "two trillion, forty-five billion, four hundred twenty-five million, two hundred thousand".