2457400000 has 168 divisors, whose sum is σ = 6655167792. Its totient is φ = 892800000.

The previous prime is 2457399947. The next prime is 2457400009. The reversal of 2457400000 is 47542.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2457400009) 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, 2199442 + ... + 2200558.

It is an arithmetic number, because the mean of its divisors is an integer number (39614094).

Almost surely, 2^2457400000 is an apocalyptic number.

2457400000 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 2457400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327583896).

2457400000 is an abundant number, since it is smaller than the sum of its proper divisors (4197767792).

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

2457400000 is an equidigital number, since it uses as much as digits as its factorization.

2457400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2457400000 is about 49572.1696115875. The cubic root of 2457400000 is about 1349.4556561692.

Adding to 2457400000 its reverse (47542), we get a palindrome (2457447542).

The spelling of 2457400000 in words is "two billion, four hundred fifty-seven million, four hundred thousand".