2481379200 has 288 divisors, whose sum is σ = 9162527400. Its totient is φ = 638668800.

The previous prime is 2481379183. The next prime is 2481379207. The reversal of 2481379200 is 29731842.

2481379200 = T₁₃₅₄₄ + T₁₃₅₄₅ + ... + T₁₃₅₇₀.

2481379200 is a `hidden beast` number, since 2 + 4 + 81 + 379 + 200 = 666.

2481379200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481379207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 833715 + ... + 836685.

Almost surely, 2^2481379200 is an apocalyptic number.

2481379200 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 2481379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581263700).

2481379200 is an abundant number, since it is smaller than the sum of its proper divisors (6681148200).

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

2481379200 is a wasteful number, since it uses less digits than its factorization.

2481379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2481379200 is about 49813.4439684710. The cubic root of 2481379200 is about 1353.8307656123.

The spelling of 2481379200 in words is "two billion, four hundred eighty-one million, three hundred seventy-nine thousand, two hundred".