2678221440 has 384 divisors, whose sum is σ = 9761057280. Its totient is φ = 675717120.

The previous prime is 2678221439. The next prime is 2678221487. The reversal of 2678221440 is 441228762.

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 = 2678221395 and 2678221404.

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, 9463539 + ... + 9463821.

It is an arithmetic number, because the mean of its divisors is an integer number (25419420).

Almost surely, 2^2678221440 is an apocalyptic number.

2678221440 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 2678221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880528640).

2678221440 is an abundant number, since it is smaller than the sum of its proper divisors (7082835840).

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

2678221440 is a wasteful number, since it uses less digits than its factorization.

2678221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2678221440 is about 51751.5356293898. The cubic root of 2678221440 is about 1388.7225708423.

The spelling of 2678221440 in words is "two billion, six hundred seventy-eight million, two hundred twenty-one thousand, four hundred forty".