2061524400 has 240 divisors, whose sum is σ = 7186373376. Its totient is φ = 502133760.

The previous prime is 2061524383. The next prime is 2061524417. The reversal of 2061524400 is 44251602.

2061524400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2061524383) and next prime (2061524417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606159 + ... + 1607441.

Almost surely, 2^2061524400 is an apocalyptic number.

2061524400 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 2061524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593186688).

2061524400 is an abundant number, since it is smaller than the sum of its proper divisors (5124848976).

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

2061524400 is a wasteful number, since it uses less digits than its factorization.

2061524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2061524400 is about 45404.0130384969. The cubic root of 2061524400 is about 1272.7101074370.

The spelling of 2061524400 in words is "two billion, sixty-one million, five hundred twenty-four thousand, four hundred".