2880162109440 has 2304 divisors, whose sum is σ = 13175809920000. Its totient is φ = 596090880000.

The previous prime is 2880162109427. The next prime is 2880162109441. The reversal of 2880162109440 is 449012610882.

2880162109440 is a `hidden beast` number, since 28 + 80 + 1 + 6 + 2 + 109 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×2880162109440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880162109441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11474749315 + ... + 11474749565.

It is an arithmetic number, because the mean of its divisors is an integer number (5718667500).

Almost surely, 2^{2880162109440} is an apocalyptic number.

2880162109440 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 2880162109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587904960000).

2880162109440 is an abundant number, since it is smaller than the sum of its proper divisors (10295647810560).

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

2880162109440 is a wasteful number, since it uses less digits than its factorization.

2880162109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2880162109440 in words is "two trillion, eight hundred eighty billion, one hundred sixty-two million, one hundred nine thousand, four hundred forty".