2407121280 has 128 divisors (see below), whose sum is σ = 8525282400. Its totient is φ = 641894400.

The previous prime is 2407121279. The next prime is 2407121287. The reversal of 2407121280 is 821217042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2407121287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52371 + ... + 86930.

Almost surely, 2^2407121280 is an apocalyptic number.

2407121280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2407121280 is an abundant number, since it is smaller than the sum of its proper divisors (6118161120).

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

2407121280 is a wasteful number, since it uses less digits than its factorization.

2407121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139329 (or 139311 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2407121280 is about 49062.4222801932. The cubic root of 2407121280 is about 1340.1888202027.

The spelling of 2407121280 in words is "two billion, four hundred seven million, one hundred twenty-one thousand, two hundred eighty".