2798724144 has 240 divisors, whose sum is σ = 8191725696. Its totient is φ = 819947520.

The previous prime is 2798724133. The next prime is 2798724167. The reversal of 2798724144 is 4414278972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2798724093 and 2798724102.

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, 33719527 + ... + 33719609.

Almost surely, 2^2798724144 is an apocalyptic number.

2798724144 is a gapful number since it is divisible by the number (24) 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 2798724144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095862848).

2798724144 is an abundant number, since it is smaller than the sum of its proper divisors (5393001552).

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

2798724144 is a wasteful number, since it uses less digits than its factorization.

2798724144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 179 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 2798724144 is about 52902.9691416276. The cubic root of 2798724144 is about 1409.2456344037.

The spelling of 2798724144 in words is "two billion, seven hundred ninety-eight million, seven hundred twenty-four thousand, one hundred forty-four".