2799467871440 has 80 divisors (see below), whose sum is σ = 6600313959120. Its totient is φ = 1104122265600.

The previous prime is 2799467871427. The next prime is 2799467871481. The reversal of 2799467871440 is 441787649972.

2799467871440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1022056297024 + 1777411574416 = 1010968^2 + 1333196^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416890 + ... + 2757990.

It is an arithmetic number, because the mean of its divisors is an integer number (82503924489).

Almost surely, 2^{2799467871440} is an apocalyptic number.

2799467871440 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 2799467871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300156979560).

2799467871440 is an abundant number, since it is smaller than the sum of its proper divisors (3800846087680).

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

2799467871440 is a wasteful number, since it uses less digits than its factorization.

2799467871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341480 (or 1341474 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 68.

The spelling of 2799467871440 in words is "two trillion, seven hundred ninety-nine billion, four hundred sixty-seven million, eight hundred seventy-one thousand, four hundred forty".