2485657440 has 288 divisors, whose sum is σ = 9814162176. Its totient is φ = 561116160.

The previous prime is 2485657429. The next prime is 2485657451. The reversal of 2485657440 is 447565842.

2485657440 is a `hidden beast` number, since 2 + 48 + 565 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2485657429) and next prime (2485657451).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835155 + ... + 838125.

It is an arithmetic number, because the mean of its divisors is an integer number (34076952).

Almost surely, 2^2485657440 is an apocalyptic number.

2485657440 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 2485657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907081088).

2485657440 is an abundant number, since it is smaller than the sum of its proper divisors (7328504736).

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

2485657440 is a wasteful number, since it uses less digits than its factorization.

2485657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 2485657440 is about 49856.3680987695. The cubic root of 2485657440 is about 1354.6083825355.

The spelling of 2485657440 in words is "two billion, four hundred eighty-five million, six hundred fifty-seven thousand, four hundred forty".