2277901440 has 384 divisors, whose sum is σ = 8295880320. Its totient is φ = 597196800.

The previous prime is 2277901429. The next prime is 2277901447. The reversal of 2277901440 is 441097722.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2277901395 and 2277901404.

It is not an unprimeable number, because it can be changed into a prime (2277901447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15085365 + ... + 15085515.

It is an arithmetic number, because the mean of its divisors is an integer number (21603855).

Almost surely, 2^2277901440 is an apocalyptic number.

2277901440 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 2277901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147940160).

2277901440 is an abundant number, since it is smaller than the sum of its proper divisors (6017978880).

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

2277901440 is an equidigital number, since it uses as much as digits as its factorization.

2277901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2277901440 is about 47727.3657349743. The cubic root of 2277901440 is about 1315.7649392467.

The spelling of 2277901440 in words is "two billion, two hundred seventy-seven million, nine hundred one thousand, four hundred forty".