2100629440 has 336 divisors, whose sum is σ = 6425671680. Its totient is φ = 639774720.

The previous prime is 2100629431. The next prime is 2100629521. The reversal of 2100629440 is 449260012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2100629399 and 2100629408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11735271 + ... + 11735449.

Almost surely, 2^2100629440 is an apocalyptic number.

2100629440 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 2100629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212835840).

2100629440 is an abundant number, since it is smaller than the sum of its proper divisors (4325042240).

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

2100629440 is a wasteful number, since it uses less digits than its factorization.

2100629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2100629440 is about 45832.6241884534. The cubic root of 2100629440 is about 1280.7070962938.

Adding to 2100629440 its reverse (449260012), we get a palindrome (2549889452).

The spelling of 2100629440 in words is "two billion, one hundred million, six hundred twenty-nine thousand, four hundred forty".