2102500400 has 480 divisors, whose sum is σ = 6974553600. Its totient is φ = 587980800.

The previous prime is 2102500399. The next prime is 2102500429. The reversal of 2102500400 is 40052012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23623556 + ... + 23623644.

It is an arithmetic number, because the mean of its divisors is an integer number (14530320).

Almost surely, 2^2102500400 is an apocalyptic number.

2102500400 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 2102500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487276800).

2102500400 is an abundant number, since it is smaller than the sum of its proper divisors (4872053200).

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

2102500400 is a wasteful number, since it uses less digits than its factorization.

2102500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2102500400 is about 45853.0304342036. The cubic root of 2102500400 is about 1281.0872110449.

Adding to 2102500400 its reverse (40052012), we get a palindrome (2142552412).

It can be divided in two parts, 2102500 and 400, that multiplied together give a square (841000000 = 29000²).

The spelling of 2102500400 in words is "two billion, one hundred two million, five hundred thousand, four hundred".