2738867040 has 384 divisors, whose sum is σ = 11799889920. Its totient is φ = 577787904.

The previous prime is 2738867029. The next prime is 2738867063. The reversal of 2738867040 is 407688372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389637 + ... + 396603.

It is an arithmetic number, because the mean of its divisors is an integer number (30728880).

Almost surely, 2^2738867040 is an apocalyptic number.

2738867040 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 2738867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899944960).

2738867040 is an abundant number, since it is smaller than the sum of its proper divisors (9061022880).

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

2738867040 is a wasteful number, since it uses less digits than its factorization.

2738867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2738867040 is about 52334.1861501638. The cubic root of 2738867040 is about 1399.1265027342.

The spelling of 2738867040 in words is "two billion, seven hundred thirty-eight million, eight hundred sixty-seven thousand, forty".