2000153400 has 384 divisors, whose sum is σ = 7432143360. Its totient is φ = 435456000.

The previous prime is 2000153383. The next prime is 2000153429. The reversal of 2000153400 is 43510002.

It is a super-2 number, since 2×2000153400² = 8001227247063120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2000153400.

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, 9479295 + ... + 9479505.

It is an arithmetic number, because the mean of its divisors is an integer number (19354540).

Almost surely, 2^2000153400 is an apocalyptic number.

2000153400 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 2000153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716071680).

2000153400 is an abundant number, since it is smaller than the sum of its proper divisors (5431989960).

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

2000153400 is a wasteful number, since it uses less digits than its factorization.

2000153400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2000153400 is about 44723.0745812494. The cubic root of 2000153400 is about 1259.9532610529.

Adding to 2000153400 its reverse (43510002), we get a palindrome (2043663402).

The spelling of 2000153400 in words is "two billion, one hundred fifty-three thousand, four hundred".