2457638951040 has 3456 divisors, whose sum is σ = 11915402531760. Its totient is φ = 460770508800.

The previous prime is 2457638951029. The next prime is 2457638951087. The reversal of 2457638951040 is 401598367542.

It is a happy number.

2457638951040 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 6 + 3 + 89 + 510 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 346336958016 + 2111301993024 = 588504^2 + 1453032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 59942413420 + ... + 59942413460.

It is a 1-persistent number, because it is pandigital, but 2⋅2457638951040 = 4915277902080 is not.

Almost surely, 2^{2457638951040} is an apocalyptic number.

2457638951040 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 2457638951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957701265880).

2457638951040 is an abundant number, since it is smaller than the sum of its proper divisors (9457763580720).

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

2457638951040 is a wasteful number, since it uses less digits than its factorization.

2457638951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2457638951040 in words is "two trillion, four hundred fifty-seven billion, six hundred thirty-eight million, nine hundred fifty-one thousand, forty".