2781455040 has 336 divisors, whose sum is σ = 11775935808. Its totient is φ = 586801152.

The previous prime is 2781454981. The next prime is 2781455063. The reversal of 2781455040 is 405541872.

2781455040 is a `hidden beast` number, since 2 + 7 + 8 + 145 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2781454986 and 2781455004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256774 + ... + 267386.

It is an arithmetic number, because the mean of its divisors is an integer number (35047428).

Almost surely, 2^2781455040 is an apocalyptic number.

2781455040 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 2781455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887967904).

2781455040 is an abundant number, since it is smaller than the sum of its proper divisors (8994480768).

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

2781455040 is a wasteful number, since it uses less digits than its factorization.

2781455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2781455040 is about 52739.5017041307. The cubic root of 2781455040 is about 1406.3411399301.

The spelling of 2781455040 in words is "two billion, seven hundred eighty-one million, four hundred fifty-five thousand, forty".