2557840950 has 192 divisors, whose sum is σ = 8208760320. Its totient is φ = 573505920.

The previous prime is 2557840891. The next prime is 2557840951. The reversal of 2557840950 is 590487552.

2557840950 is a `hidden beast` number, since 2 + 557 + 8 + 4 + 0 + 95 + 0 = 666.

2557840950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2557840896 and 2557840905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557840951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498297 + ... + 503403.

It is an arithmetic number, because the mean of its divisors is an integer number (42753960).

Almost surely, 2^2557840950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557840950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104380160).

2557840950 is an abundant number, since it is smaller than the sum of its proper divisors (5650919370).

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

2557840950 is a wasteful number, since it uses less digits than its factorization.

2557840950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2557840950 is about 50575.1020760216. The cubic root of 2557840950 is about 1367.5960738048.

The spelling of 2557840950 in words is "two billion, five hundred fifty-seven million, eight hundred forty thousand, nine hundred fifty".