2450928000 has 128 divisors (see below), whose sum is σ = 8124985440. Its totient is φ = 653568000.

The previous prime is 2450927957. The next prime is 2450928019. The reversal of 2450928000 is 8290542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2450928000² = 12014096122368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22470 + ... + 73530.

Almost surely, 2^2450928000 is an apocalyptic number.

2450928000 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 2450928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062492720).

2450928000 is an abundant number, since it is smaller than the sum of its proper divisors (5674057440).

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

2450928000 is an equidigital number, since it uses as much as digits as its factorization.

2450928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51093 (or 51071 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2450928000 is about 49506.8480111590. The cubic root of 2450928000 is about 1348.2699374590.

The spelling of 2450928000 in words is "two billion, four hundred fifty million, nine hundred twenty-eight thousand".