2495662560 has 288 divisors, whose sum is σ = 9119047392. Its totient is φ = 619315200.

The previous prime is 2495662553. The next prime is 2495662591. The reversal of 2495662560 is 652665942.

It is a happy number.

2495662560 is a `hidden beast` number, since 2 + 4 + 9 + 566 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2495662560² = 12456663226771507200, 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 47 ways as a sum of consecutive naturals, for example, 2374035 + ... + 2375085.

It is an arithmetic number, because the mean of its divisors is an integer number (31663359).

Almost surely, 2^2495662560 is an apocalyptic number.

2495662560 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 2495662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559523696).

2495662560 is an abundant number, since it is smaller than the sum of its proper divisors (6623384832).

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

2495662560 is a wasteful number, since it uses less digits than its factorization.

2495662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2495662560 is about 49956.6067702761. The cubic root of 2495662560 is about 1356.4234456906.

The spelling of 2495662560 in words is "two billion, four hundred ninety-five million, six hundred sixty-two thousand, five hundred sixty".