2778481440 has 672 divisors, whose sum is σ = 11660858496. Its totient is φ = 612126720.

The previous prime is 2778481439. The next prime is 2778481451. The reversal of 2778481440 is 441848772.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2778481440² = 15439918224848947200, which contains 22 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33475639 + ... + 33475721.

It is an arithmetic number, because the mean of its divisors is an integer number (17352468).

Almost surely, 2^2778481440 is an apocalyptic number.

2778481440 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 2778481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830429248).

2778481440 is an abundant number, since it is smaller than the sum of its proper divisors (8882377056).

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

2778481440 is an equidigital number, since it uses as much as digits as its factorization.

2778481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 2778481440 is about 52711.3027727451. The cubic root of 2778481440 is about 1405.8397971555.

The spelling of 2778481440 in words is "two billion, seven hundred seventy-eight million, four hundred eighty-one thousand, four hundred forty".