2457647340 has 192 divisors, whose sum is σ = 7596288000. Its totient is φ = 591252480.

The previous prime is 2457647329. The next prime is 2457647341. The reversal of 2457647340 is 437467542.

It is a junction number, because it is equal to n+sod(n) for n = 2457647292 and 2457647301.

It is not an unprimeable number, because it can be changed into a prime (2457647341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2611270 + ... + 2612210.

It is an arithmetic number, because the mean of its divisors is an integer number (39564000).

Almost surely, 2^2457647340 is an apocalyptic number.

2457647340 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 2457647340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798144000).

2457647340 is an abundant number, since it is smaller than the sum of its proper divisors (5138640660).

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

2457647340 is a wasteful number, since it uses less digits than its factorization.

2457647340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 2457647340 is about 49574.6642953838. The cubic root of 2457647340 is about 1349.5009293799.

The spelling of 2457647340 in words is "two billion, four hundred fifty-seven million, six hundred forty-seven thousand, three hundred forty".