2003400000 has 672 divisors, whose sum is σ = 8571951360. Its totient is φ = 449280000.

The previous prime is 2003399999. The next prime is 2003400001. The reversal of 2003400000 is 43002.

2003400000 = 76³ + 77³ + ... + 299³.

It is an interprime number because it is at equal distance from previous prime (2003399999) and next prime (2003400001).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2003400000² = 8027223120000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37799974 + ... + 37800026.

It is an arithmetic number, because the mean of its divisors is an integer number (12755880).

Almost surely, 2^2003400000 is an apocalyptic number.

2003400000 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 2003400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285975680).

2003400000 is an abundant number, since it is smaller than the sum of its proper divisors (6568551360).

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

2003400000 is an frugal number, since it uses more digits than its factorization.

2003400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2003400000 is about 44759.3565637398. The cubic root of 2003400000 is about 1260.6346009635.

Adding to 2003400000 its reverse (43002), we get a palindrome (2003443002).

The spelling of 2003400000 in words is "two billion, three million, four hundred thousand".