2801385613440 has 256 divisors, whose sum is σ = 9925856640000. Its totient is φ = 746713718784.

The previous prime is 2801385613379. The next prime is 2801385613469. The reversal of 2801385613440 is 443165831082.

2801385613440 is a `hidden beast` number, since 2 + 8 + 0 + 13 + 8 + 561 + 34 + 40 = 666.

It is a super-2 number, since 2×2801385613440² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41420932 + ... + 41488508.

It is an arithmetic number, because the mean of its divisors is an integer number (38772877500).

Almost surely, 2^{2801385613440} is an apocalyptic number.

2801385613440 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 2801385613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962928320000).

2801385613440 is an abundant number, since it is smaller than the sum of its proper divisors (7124471026560).

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

2801385613440 is a wasteful number, since it uses less digits than its factorization.

2801385613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70004 (or 69986 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2801385613440 in words is "two trillion, eight hundred one billion, three hundred eighty-five million, six hundred thirteen thousand, four hundred forty".