2490102000 has 400 divisors, whose sum is σ = 9479527200. Its totient is φ = 628300800.

The previous prime is 2490101983. The next prime is 2490102011. The reversal of 2490102000 is 2010942.

2490102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3077596 + ... + 3078404.

It is an arithmetic number, because the mean of its divisors is an integer number (23698818).

Almost surely, 2^2490102000 is an apocalyptic number.

2490102000 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 2490102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739763600).

2490102000 is an abundant number, since it is smaller than the sum of its proper divisors (6989425200).

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

2490102000 is a wasteful number, since it uses less digits than its factorization.

2490102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2490102000 is about 49900.9218351725. The cubic root of 2490102000 is about 1355.4152855344.

Adding to 2490102000 its reverse (2010942), we get a palindrome (2492112942).

The spelling of 2490102000 in words is "two billion, four hundred ninety million, one hundred two thousand".