2145598813440 has 1440 divisors, whose sum is σ = 8212508178336. Its totient is φ = 534132817920.

The previous prime is 2145598813417. The next prime is 2145598813451. The reversal of 2145598813440 is 443188955412.

2145598813440 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 598 + 8 + 1 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 71584072704 + 2074014740736 = 267552^2 + 1440144^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 12402305194 + ... + 12402305366.

Almost surely, 2^{2145598813440} is an apocalyptic number.

2145598813440 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 2145598813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106254089168).

2145598813440 is an abundant number, since it is smaller than the sum of its proper divisors (6066909364896).

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

2145598813440 is a wasteful number, since it uses less digits than its factorization.

2145598813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2145598813440 in words is "two trillion, one hundred forty-five billion, five hundred ninety-eight million, eight hundred thirteen thousand, four hundred forty".