2535780000 has 240 divisors, whose sum is σ = 8960456736. Its totient is φ = 624000000.

The previous prime is 2535779989. The next prime is 2535780007. The reversal of 2535780000 is 875352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2535780000.

It is not an unprimeable number, because it can be changed into a prime (2535780007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 778375 + ... + 781625.

Almost surely, 2^2535780000 is an apocalyptic number.

2535780000 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 2535780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480228368).

2535780000 is an abundant number, since it is smaller than the sum of its proper divisors (6424676736).

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

2535780000 is a wasteful number, since it uses less digits than its factorization.

2535780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2535780000 is about 50356.5288716369. The cubic root of 2535780000 is about 1363.6529533335.

The spelling of 2535780000 in words is "two billion, five hundred thirty-five million, seven hundred eighty thousand".