2621406240 has 288 divisors, whose sum is σ = 9351853056. Its totient is φ = 693411840.

The previous prime is 2621406223. The next prime is 2621406241. The reversal of 2621406240 is 426041262.

2621406240 is a `hidden beast` number, since 26 + 2 + 14 + 0 + 624 + 0 = 666.

2621406240 is digitally balanced in base 2, because in such base 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 super-2 number, since 2×2621406240² = 13743541350221875200, which contains 22 as substring.

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 (2621406241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7425904 + ... + 7426256.

It is an arithmetic number, because the mean of its divisors is an integer number (32471712).

Almost surely, 2^2621406240 is an apocalyptic number.

2621406240 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 2621406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675926528).

2621406240 is an abundant number, since it is smaller than the sum of its proper divisors (6730446816).

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

2621406240 is a wasteful number, since it uses less digits than its factorization.

2621406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2621406240 is about 51199.6703114385. The cubic root of 2621406240 is about 1378.8322825101.

The spelling of 2621406240 in words is "two billion, six hundred twenty-one million, four hundred six thousand, two hundred forty".