2801055151440 has 240 divisors, whose sum is σ = 11577694896768. Its totient is φ = 590991842304.

The previous prime is 2801055151439. The next prime is 2801055151469. The reversal of 2801055151440 is 441515501082.

2801055151440 is a `hidden beast` number, since 2 + 8 + 0 + 10 + 55 + 151 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2801055151440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2801055151395 and 2801055151404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21310054 + ... + 21441093.

Almost surely, 2^{2801055151440} is an apocalyptic number.

2801055151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801055151440 is an abundant number, since it is smaller than the sum of its proper divisors (8776639745328).

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

2801055151440 is a wasteful number, since it uses less digits than its factorization.

2801055151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42751186 (or 42751177 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 2801055151440 in words is "two trillion, eight hundred one billion, fifty-five million, one hundred fifty-one thousand, four hundred forty".