2145440364480 has 1120 divisors, whose sum is σ = 9223858575360. Its totient is φ = 462409482240.

The previous prime is 2145440364469. The next prime is 2145440364497. The reversal of 2145440364480 is 844630445412.

It is a happy number.

2145440364480 is a `hidden beast` number, since 2 + 1 + 4 + 544 + 0 + 3 + 64 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 803233545 + ... + 803236215.

Almost surely, 2^{2145440364480} is an apocalyptic number.

2145440364480 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 2145440364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611929287680).

2145440364480 is an abundant number, since it is smaller than the sum of its proper divisors (7078418210880).

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

2145440364480 is a wasteful number, since it uses less digits than its factorization.

2145440364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

It can be divided in two parts, 2145440 and 364480, that added together give a triangular number (2509920 = T₂₂₄₀).

The spelling of 2145440364480 in words is "two trillion, one hundred forty-five billion, four hundred forty million, three hundred sixty-four thousand, four hundred eighty".