2798752320 has 672 divisors, whose sum is σ = 12115434240. Its totient is φ = 577290240.

The previous prime is 2798752301. The next prime is 2798752339. The reversal of 2798752320 is 232578972.

2798752320 is a `hidden beast` number, since 27 + 9 + 87 + 523 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2798752301) and next prime (2798752339).

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 15462630 + ... + 15462810.

It is an arithmetic number, because the mean of its divisors is an integer number (18028920).

Almost surely, 2^2798752320 is an apocalyptic number.

2798752320 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 2798752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057717120).

2798752320 is an abundant number, since it is smaller than the sum of its proper divisors (9316681920).

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

2798752320 is a wasteful number, since it uses less digits than its factorization.

2798752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2798752320 is about 52903.2354398103. The cubic root of 2798752320 is about 1409.2503635552.

The spelling of 2798752320 in words is "two billion, seven hundred ninety-eight million, seven hundred fifty-two thousand, three hundred twenty".