2400738480 has 320 divisors, whose sum is σ = 9569387520. Its totient is φ = 541845504.

The previous prime is 2400738469. The next prime is 2400738481. The reversal of 2400738480 is 848370042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2400738481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254004 + ... + 1255916.

It is an arithmetic number, because the mean of its divisors is an integer number (29904336).

Almost surely, 2^2400738480 is an apocalyptic number.

2400738480 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 2400738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784693760).

2400738480 is an abundant number, since it is smaller than the sum of its proper divisors (7168649040).

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

2400738480 is a wasteful number, since it uses less digits than its factorization.

2400738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2400738480 is about 48997.3313559014. The cubic root of 2400738480 is about 1339.0032090945.

The spelling of 2400738480 in words is "two billion, four hundred million, seven hundred thirty-eight thousand, four hundred eighty".