2538191040 has 224 divisors, whose sum is σ = 10047573504. Its totient is φ = 527400960.

The previous prime is 2538191039. The next prime is 2538191101. The reversal of 2538191040 is 401918352.

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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 2538190992 and 2538191010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56752 + ... + 91088.

Almost surely, 2^2538191040 is an apocalyptic number.

2538191040 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 2538191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023786752).

2538191040 is an abundant number, since it is smaller than the sum of its proper divisors (7509382464).

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

2538191040 is a wasteful number, since it uses less digits than its factorization.

2538191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34375 (or 34365 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2538191040 is about 50380.4628799697. The cubic root of 2538191040 is about 1364.0850071575.

The spelling of 2538191040 in words is "two billion, five hundred thirty-eight million, one hundred ninety-one thousand, forty".