2455124672 has 224 divisors, whose sum is σ = 6888967680. Its totient is φ = 836075520.

The previous prime is 2455124669. The next prime is 2455124681. The reversal of 2455124672 is 2764215542.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216208 + ... + 1218224.

It is an arithmetic number, because the mean of its divisors is an integer number (30754320).

Almost surely, 2^2455124672 is an apocalyptic number.

2455124672 is a gapful number since it is divisible by the number (22) 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 2455124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444483840).

2455124672 is an abundant number, since it is smaller than the sum of its proper divisors (4433843008).

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

2455124672 is a wasteful number, since it uses less digits than its factorization.

2455124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 2455124672 is about 49549.2146456430. The cubic root of 2455124672 is about 1349.0390366553.

The spelling of 2455124672 in words is "two billion, four hundred fifty-five million, one hundred twenty-four thousand, six hundred seventy-two".