2985400000 has 336 divisors, whose sum is σ = 8571951360. Its totient is φ = 1020800000.

The previous prime is 2985399979. The next prime is 2985400007. The reversal of 2985400000 is 45892.

It is a happy number.

It is a super-2 number, since 2×2985400000² = 17825226320000000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2985400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50599971 + ... + 50600029.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^2985400000 is an apocalyptic number.

2985400000 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 2985400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285975680).

2985400000 is an abundant number, since it is smaller than the sum of its proper divisors (5586551360).

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

2985400000 is an equidigital number, since it uses as much as digits as its factorization.

2985400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2985400000 is about 54638.8140427663. The cubic root of 2985400000 is about 1439.9061152782.

Adding to 2985400000 its reverse (45892), we get a palindrome (2985445892).

The spelling of 2985400000 in words is "two billion, nine hundred eighty-five million, four hundred thousand".