2753876250 has 240 divisors, whose sum is σ = 8070416640. Its totient is φ = 676368000.

The previous prime is 2753876249. The next prime is 2753876261. The reversal of 2753876250 is 526783572.

2753876250 is a `hidden beast` number, since 2 + 7 + 538 + 7 + 62 + 50 = 666.

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 = 2753876196 and 2753876205.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7503567 + ... + 7503933.

It is an arithmetic number, because the mean of its divisors is an integer number (33626736).

Almost surely, 2^2753876250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2753876250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035208320).

2753876250 is an abundant number, since it is smaller than the sum of its proper divisors (5316540390).

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

2753876250 is a wasteful number, since it uses less digits than its factorization.

2753876250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2753876250 is about 52477.3879875895. The cubic root of 2753876250 is about 1401.6776232509.

The spelling of 2753876250 in words is "two billion, seven hundred fifty-three million, eight hundred seventy-six thousand, two hundred fifty".