2508349680 has 200 divisors, whose sum is σ = 8750332800. Its totient is φ = 665943552.

The previous prime is 2508349667. The next prime is 2508349703. The reversal of 2508349680 is 869438052.

2508349680 is a `hidden beast` number, since 2 + 5 + 0 + 83 + 496 + 80 = 666.

It is a super-2 number, since 2×2508349680² = 12583636234312204800, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1742401 + ... + 1743839.

It is an arithmetic number, because the mean of its divisors is an integer number (43751664).

Almost surely, 2^2508349680 is an apocalyptic number.

2508349680 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 2508349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375166400).

2508349680 is an abundant number, since it is smaller than the sum of its proper divisors (6241983120).

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

2508349680 is a wasteful number, since it uses less digits than its factorization.

2508349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2508349680 is about 50083.4271990246. The cubic root of 2508349680 is about 1358.7180971643.

The spelling of 2508349680 in words is "two billion, five hundred eight million, three hundred forty-nine thousand, six hundred eighty".