2262876252 has 288 divisors, whose sum is σ = 7048548864. Its totient is φ = 558835200.

The previous prime is 2262876251. The next prime is 2262876277. The reversal of 2262876252 is 2526782622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (322560) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262876251) 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, 10724427 + ... + 10724637.

It is an arithmetic number, because the mean of its divisors is an integer number (24474128).

Almost surely, 2^2262876252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262876252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524274432).

2262876252 is an abundant number, since it is smaller than the sum of its proper divisors (4785672612).

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

2262876252 is a wasteful number, since it uses less digits than its factorization.

2262876252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2262876252 is about 47569.6988848994. The cubic root of 2262876252 is about 1312.8655977086.

It can be divided in two parts, 2262876 and 252, that added together give a triangular number (2263128 = T₂₁₂₇).

The spelling of 2262876252 in words is "two billion, two hundred sixty-two million, eight hundred seventy-six thousand, two hundred fifty-two".