2452428540 has 72 divisors (see below), whose sum is σ = 7478085888. Its totient is φ = 650547840.

The previous prime is 2452428533. The next prime is 2452428541. The reversal of 2452428540 is 458242542.

2452428540 = T₅₉₆₀ + T₅₉₆₁ + ... + T₆₀₉₄.

2452428540 is a `hidden beast` number, since 24 + 52 + 42 + 8 + 540 = 666.

2452428540 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2452428495 and 2452428504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452428541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287 + ... + 70046.

It is an arithmetic number, because the mean of its divisors is an integer number (103862304).

Almost surely, 2^2452428540 is an apocalyptic number.

2452428540 is a gapful number since it is divisible by the number (20) 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 2452428540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739042944).

2452428540 is an abundant number, since it is smaller than the sum of its proper divisors (5025657348).

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

2452428540 is a wasteful number, since it uses less digits than its factorization.

2452428540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71539 (or 71534 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 2452428540 is about 49522.0005654053. Note that the first 3 decimals coincide. The cubic root of 2452428540 is about 1348.5450332915.

The spelling of 2452428540 in words is "two billion, four hundred fifty-two million, four hundred twenty-eight thousand, five hundred forty".