2478537792 has 336 divisors, whose sum is σ = 7828434432. Its totient is φ = 776355840.

The previous prime is 2478537779. The next prime is 2478537839. The reversal of 2478537792 is 2977358742.

2478537792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478537792² = 12286299172744470528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25551888 + ... + 25551984.

It is an arithmetic number, because the mean of its divisors is an integer number (23298912).

Almost surely, 2^2478537792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914217216).

2478537792 is an abundant number, since it is smaller than the sum of its proper divisors (5349896640).

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

2478537792 is an equidigital number, since it uses as much as digits as its factorization.

2478537792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 2478537792 is about 49784.9153057430. The cubic root of 2478537792 is about 1353.3138145540.

The spelling of 2478537792 in words is "two billion, four hundred seventy-eight million, five hundred thirty-seven thousand, seven hundred ninety-two".