2570400000 has 864 divisors, whose sum is σ = 11496764160. Its totient is φ = 552960000.

The previous prime is 2570399981. The next prime is 2570400059. The reversal of 2570400000 is 40752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151199992 + ... + 151200008.

It is an arithmetic number, because the mean of its divisors is an integer number (13306440).

Almost surely, 2^2570400000 is an apocalyptic number.

2570400000 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 2570400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748382080).

2570400000 is an abundant number, since it is smaller than the sum of its proper divisors (8926364160).

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

2570400000 is an frugal number, since it uses more digits than its factorization.

2570400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2570400000 is about 50699.1124182663. The cubic root of 2570400000 is about 1369.8307283715.

Adding to 2570400000 its reverse (40752), we get a palindrome (2570440752).

The spelling of 2570400000 in words is "two billion, five hundred seventy million, four hundred thousand".