2790480624 has 160 divisors (see below), whose sum is σ = 7687507968. Its totient is φ = 870912000.

The previous prime is 2790480613. The next prime is 2790480629. The reversal of 2790480624 is 4260840972.

2790480624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 52825²-1.

It is a super-2 number, since 2×2790480624² = 15573564225838858752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2790480629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6444312 + ... + 6444744.

Almost surely, 2^2790480624 is an apocalyptic number.

2790480624 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 2790480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843753984).

2790480624 is an abundant number, since it is smaller than the sum of its proper divisors (4897027344).

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

2790480624 is a wasteful number, since it uses less digits than its factorization.

2790480624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2790480624 is about 52824.9999905348. Note that the first 5 decimals coincide. The cubic root of 2790480624 is about 1407.8606498410.

The spelling of 2790480624 in words is "two billion, seven hundred ninety million, four hundred eighty thousand, six hundred twenty-four".