2453960880 has 320 divisors, whose sum is σ = 10229345280. Its totient is φ = 527855616.

The previous prime is 2453960869. The next prime is 2453960891. The reversal of 2453960880 is 880693542.

2453960880 is a `hidden beast` number, since 2 + 4 + 5 + 39 + 608 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2453960869) and next prime (2453960891).

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 63 ways as a sum of consecutive naturals, for example, 252267 + ... + 261813.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^2453960880 is an apocalyptic number.

2453960880 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 2453960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114672640).

2453960880 is an abundant number, since it is smaller than the sum of its proper divisors (7775384400).

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

2453960880 is a wasteful number, since it uses less digits than its factorization.

2453960880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9581 counting only the distinct ones).

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

The square root of 2453960880 is about 49537.4694549489. The cubic root of 2453960880 is about 1348.8258432758.

The spelling of 2453960880 in words is "two billion, four hundred fifty-three million, nine hundred sixty thousand, eight hundred eighty".