2796504480 has 576 divisors, whose sum is σ = 12431180160. Its totient is φ = 580608000.

The previous prime is 2796504461. The next prime is 2796504499. The reversal of 2796504480 is 844056972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2796504461) and next prime (2796504499).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2327880 + ... + 2329080.

It is an arithmetic number, because the mean of its divisors is an integer number (21581910).

Almost surely, 2^2796504480 is an apocalyptic number.

2796504480 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 2796504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215590080).

2796504480 is an abundant number, since it is smaller than the sum of its proper divisors (9634675680).

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

2796504480 is a wasteful number, since it uses less digits than its factorization.

2796504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2796504480 is about 52881.9863469594. The cubic root of 2796504480 is about 1408.8729789892.

The spelling of 2796504480 in words is "two billion, seven hundred ninety-six million, five hundred four thousand, four hundred eighty".