2603652480 has 768 divisors, whose sum is σ = 11027016000. Its totient is φ = 557383680.

The previous prime is 2603652461. The next prime is 2603652523. The reversal of 2603652480 is 842563062.

2603652480 is a `hidden beast` number, since 2 + 603 + 6 + 5 + 2 + 48 + 0 = 666.

It is a super-2 number, since 2×2603652480² = 13558012473220300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23886666 + ... + 23886774.

Almost surely, 2^2603652480 is an apocalyptic number.

2603652480 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 2603652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513508000).

2603652480 is an abundant number, since it is smaller than the sum of its proper divisors (8423363520).

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

2603652480 is a wasteful number, since it uses less digits than its factorization.

2603652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2603652480 is about 51025.9980794105. The cubic root of 2603652480 is about 1375.7124647077.

The spelling of 2603652480 in words is "two billion, six hundred three million, six hundred fifty-two thousand, four hundred eighty".