2145635310240 has 288 divisors, whose sum is σ = 7523441243136. Its totient is φ = 556441159680.

The previous prime is 2145635310229. The next prime is 2145635310281. The reversal of 2145635310240 is 420135365412.

2145635310240 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 635 + 3 + 10 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2145635310195 and 2145635310204.

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, 128449729 + ... + 128466431.

It is an arithmetic number, because the mean of its divisors is an integer number (26123059872).

Almost surely, 2^{2145635310240} is an apocalyptic number.

2145635310240 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 2145635310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761720621568).

2145635310240 is an abundant number, since it is smaller than the sum of its proper divisors (5377805932896).

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

2145635310240 is a wasteful number, since it uses less digits than its factorization.

2145635310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19172 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2145635310240 in words is "two trillion, one hundred forty-five billion, six hundred thirty-five million, three hundred ten thousand, two hundred forty".