2421949271040 has 1056 divisors, whose sum is σ = 9559604500992. Its totient is φ = 562692096000.

The previous prime is 2421949271039. The next prime is 2421949271099. The reversal of 2421949271040 is 401729491242.

2421949271040 is a `hidden beast` number, since 2 + 42 + 19 + 492 + 7 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761378250 + ... + 761381430.

Almost surely, 2^{2421949271040} is an apocalyptic number.

2421949271040 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 2421949271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779802250496).

2421949271040 is an abundant number, since it is smaller than the sum of its proper divisors (7137655229952).

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

2421949271040 is a wasteful number, since it uses less digits than its factorization.

2421949271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2421949271040 in words is "two trillion, four hundred twenty-one billion, nine hundred forty-nine million, two hundred seventy-one thousand, forty".