2452771440 has 360 divisors, whose sum is σ = 9846289440. Its totient is φ = 545190912.

The previous prime is 2452771439. The next prime is 2452771463. The reversal of 2452771440 is 441772542.

2452771440 is a `hidden beast` number, since 24 + 527 + 71 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2452771395 and 2452771404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1304421 + ... + 1306299.

It is an arithmetic number, because the mean of its divisors is an integer number (27350804).

Almost surely, 2^2452771440 is an apocalyptic number.

2452771440 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 2452771440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923144720).

2452771440 is an abundant number, since it is smaller than the sum of its proper divisors (7393518000).

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

2452771440 is a wasteful number, since it uses less digits than its factorization.

2452771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 2452771440 is about 49525.4625420096. The cubic root of 2452771440 is about 1348.6078818155.

The spelling of 2452771440 in words is "two billion, four hundred fifty-two million, seven hundred seventy-one thousand, four hundred forty".