2790973440 has 336 divisors, whose sum is σ = 9906079248. Its totient is φ = 726663168.

The previous prime is 2790973417. The next prime is 2790973477. The reversal of 2790973440 is 443790972.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24698824 + ... + 24698936.

Almost surely, 2^2790973440 is an apocalyptic number.

2790973440 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 2790973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953039624).

2790973440 is an abundant number, since it is smaller than the sum of its proper divisors (7115105808).

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

2790973440 is a wasteful number, since it uses less digits than its factorization.

2790973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2790973440 is about 52829.6643941640. The cubic root of 2790973440 is about 1407.9435239055.

The spelling of 2790973440 in words is "two billion, seven hundred ninety million, nine hundred seventy-three thousand, four hundred forty".