2145849409080 has 512 divisors, whose sum is σ = 8014351564800. Its totient is φ = 507132057600.

The previous prime is 2145849409051. The next prime is 2145849409117. The reversal of 2145849409080 is 809049485412.

It is a happy number.

2145849409080 is a `hidden beast` number, since 2 + 14 + 58 + 494 + 0 + 90 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55256070 + ... + 55294890.

It is an arithmetic number, because the mean of its divisors is an integer number (15653030400).

Almost surely, 2^{2145849409080} is an apocalyptic number.

2145849409080 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 2145849409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007175782400).

2145849409080 is an abundant number, since it is smaller than the sum of its proper divisors (5868502155720).

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

2145849409080 is a wasteful number, since it uses less digits than its factorization.

2145849409080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39012 (or 39002 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2145849409080 in words is "two trillion, one hundred forty-five billion, eight hundred forty-nine million, four hundred nine thousand, eighty".