2602400000 has 108 divisors (see below), whose sum is σ = 6494873364. Its totient is φ = 1040640000.

The previous prime is 2602399979. The next prime is 2602400023. The reversal of 2602400000 is 42062.

It can be written as a sum of positive squares in 6 ways, for example, as 1293697024 + 1308702976 = 35968^2 + 36176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798374 + ... + 801626.

Almost surely, 2^2602400000 is an apocalyptic number.

2602400000 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 2602400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247436682).

2602400000 is an abundant number, since it is smaller than the sum of its proper divisors (3892473364).

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

2602400000 is an frugal number, since it uses more digits than its factorization.

2602400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2602400000 is about 51013.7236437412. The cubic root of 2602400000 is about 1375.4918350698.

Adding to 2602400000 its reverse (42062), we get a palindrome (2602442062).

The spelling of 2602400000 in words is "two billion, six hundred two million, four hundred thousand".