2450898432000 has 832 divisors, whose sum is σ = 9595736841600. Its totient is φ = 615068467200.

The previous prime is 2450898431939. The next prime is 2450898432007. The reversal of 2450898432000 is 2348980542.

2450898432000 is a `hidden beast` number, since 24 + 508 + 98 + 4 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450898432007) 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, 235002786 + ... + 235013214.

It is an arithmetic number, because the mean of its divisors is an integer number (11533337550).

Almost surely, 2^{2450898432000} is an apocalyptic number.

2450898432000 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 2450898432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797868420800).

2450898432000 is an abundant number, since it is smaller than the sum of its proper divisors (7144838409600).

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

2450898432000 is a wasteful number, since it uses less digits than its factorization.

2450898432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2450898432000 in words is "two trillion, four hundred fifty billion, eight hundred ninety-eight million, four hundred thirty-two thousand".