2252451540 has 48 divisors (see below), whose sum is σ = 6339916800. Its totient is φ = 597505920.

The previous prime is 2252451529. The next prime is 2252451541. The reversal of 2252451540 is 451542522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2252451498 and 2252451507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252451541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86815 + ... + 109734.

It is an arithmetic number, because the mean of its divisors is an integer number (132081600).

Almost surely, 2^2252451540 is an apocalyptic number.

2252451540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252451540 is an abundant number, since it is smaller than the sum of its proper divisors (4087465260).

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

2252451540 is a wasteful number, since it uses less digits than its factorization.

2252451540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196752 (or 196750 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2252451540 is about 47459.9993678887. Note that the first 3 decimals coincide. The cubic root of 2252451540 is about 1310.8464393504.

The spelling of 2252451540 in words is "two billion, two hundred fifty-two million, four hundred fifty-one thousand, five hundred forty".