2377401120 has 144 divisors (see below), whose sum is σ = 8133161400. Its totient is φ = 632389632.

The previous prime is 2377401101. The next prime is 2377401127. The reversal of 2377401120 is 211047732.

It is a happy number.

2377401120 is a `hidden beast` number, since 237 + 7 + 401 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2234263824 + 143137296 = 47268^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2377401127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644722 + ... + 648398.

Almost surely, 2^2377401120 is an apocalyptic number.

2377401120 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 2377401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066580700).

2377401120 is an abundant number, since it is smaller than the sum of its proper divisors (5755760280).

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

2377401120 is a wasteful number, since it uses less digits than its factorization.

2377401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2377401120 is about 48758.6004721218. The cubic root of 2377401120 is about 1334.6502976643.

Adding to 2377401120 its reverse (211047732), we get a palindrome (2588448852).

The spelling of 2377401120 in words is "two billion, three hundred seventy-seven million, four hundred one thousand, one hundred twenty".