2403211680 has 288 divisors, whose sum is σ = 8595647424. Its totient is φ = 634023936.

The previous prime is 2403211669. The next prime is 2403211687. The reversal of 2403211680 is 861123042.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2403211687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4393167 + ... + 4393713.

It is an arithmetic number, because the mean of its divisors is an integer number (29845998).

Almost surely, 2^2403211680 is an apocalyptic number.

2403211680 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 2403211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297823712).

2403211680 is an abundant number, since it is smaller than the sum of its proper divisors (6192435744).

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

2403211680 is a wasteful number, since it uses less digits than its factorization.

2403211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2403211680 is about 49022.5629684944. The cubic root of 2403211680 is about 1339.4628574099.

The spelling of 2403211680 in words is "two billion, four hundred three million, two hundred eleven thousand, six hundred eighty".