2251024776 has 512 divisors, whose sum is σ = 8709120000. Its totient is φ = 519644160.

The previous prime is 2251024771. The next prime is 2251024849. The reversal of 2251024776 is 6774201522.

It is a happy number.

It is a super-2 number, since 2×2251024776² = 10134225084331700352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2251024776.

It is not an unprimeable number, because it can be changed into a prime (2251024771) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6270085 + ... + 6270443.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2^2251024776 is an apocalyptic number.

2251024776 is a gapful number since it is divisible by the number (26) 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 2251024776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560000).

2251024776 is an abundant number, since it is smaller than the sum of its proper divisors (6458095224).

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

2251024776 is a wasteful number, since it uses less digits than its factorization.

2251024776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2251024776 is about 47444.9657603417. The cubic root of 2251024776 is about 1310.5696056415.

The spelling of 2251024776 in words is "two billion, two hundred fifty-one million, twenty-four thousand, seven hundred seventy-six".