2400770820 has 192 divisors, whose sum is σ = 8276115456. Its totient is φ = 507893760.

The previous prime is 2400770819. The next prime is 2400770833. The reversal of 2400770820 is 280770042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295452 + ... + 303468.

It is an arithmetic number, because the mean of its divisors is an integer number (43104768).

Almost surely, 2^2400770820 is an apocalyptic number.

2400770820 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 2400770820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138057728).

2400770820 is an abundant number, since it is smaller than the sum of its proper divisors (5875344636).

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

2400770820 is a wasteful number, since it uses less digits than its factorization.

2400770820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2400770820 is about 48997.6613727635. The cubic root of 2400770820 is about 1339.0092215735.

The spelling of 2400770820 in words is "two billion, four hundred million, seven hundred seventy thousand, eight hundred twenty".