2450098560 has 512 divisors, whose sum is σ = 9897753600. Its totient is φ = 501645312.

The previous prime is 2450098559. The next prime is 2450098561. The reversal of 2450098560 is 658900542.

It is an interprime number because it is at equal distance from previous prime (2450098559) and next prime (2450098561).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450098561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6464451 + ... + 6464829.

It is an arithmetic number, because the mean of its divisors is an integer number (19331550).

Almost surely, 2^2450098560 is an apocalyptic number.

2450098560 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 2450098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948876800).

2450098560 is an abundant number, since it is smaller than the sum of its proper divisors (7447655040).

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

2450098560 is a wasteful number, since it uses less digits than its factorization.

2450098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2450098560 is about 49498.4702793935. The cubic root of 2450098560 is about 1348.1178270212.

The spelling of 2450098560 in words is "two billion, four hundred fifty million, ninety-eight thousand, five hundred sixty".