2798749440 has 432 divisors, whose sum is σ = 10606692096. Its totient is φ = 678297600.

The previous prime is 2798749427. The next prime is 2798749451. The reversal of 2798749440 is 449478972.

It is a happy number.

2798749440 is a `hidden beast` number, since 2 + 79 + 87 + 494 + 4 + 0 = 666.

It is a congruent number.

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, 6070810 + ... + 6071270.

It is an arithmetic number, because the mean of its divisors is an integer number (24552528).

Almost surely, 2^2798749440 is an apocalyptic number.

2798749440 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 2798749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303346048).

2798749440 is an abundant number, since it is smaller than the sum of its proper divisors (7807942656).

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

2798749440 is a wasteful number, since it uses less digits than its factorization.

2798749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2798749440 is about 52903.2082202961. The cubic root of 2798749440 is about 1409.2498801681.

The spelling of 2798749440 in words is "two billion, seven hundred ninety-eight million, seven hundred forty-nine thousand, four hundred forty".