2792724480 has 960 divisors, whose sum is σ = 12652960320. Its totient is φ = 573308928.

The previous prime is 2792724461. The next prime is 2792724499. The reversal of 2792724480 is 844272972.

It is an interprime number because it is at equal distance from previous prime (2792724461) and next prime (2792724499).

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 75479022 + ... + 75479058.

It is an arithmetic number, because the mean of its divisors is an integer number (13180167).

Almost surely, 2^2792724480 is an apocalyptic number.

2792724480 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 2792724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326480160).

2792724480 is an abundant number, since it is smaller than the sum of its proper divisors (9860235840).

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

2792724480 is a wasteful number, since it uses less digits than its factorization.

2792724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2792724480 is about 52846.2343029283. The cubic root of 2792724480 is about 1408.2379074573.

The spelling of 2792724480 in words is "two billion, seven hundred ninety-two million, seven hundred twenty-four thousand, four hundred eighty".